GATE 2025 Statistics Syllabus: IIT Roorkee released the GATE Statistics syllabus 2025 on the official website gate2025.iitr.ac.in. Candidates can access the GATE Statistics 2025 syllabus pdf on this page. The authorities released the GATE syllabus to provide candidates with the complete list of topics that must be prepared for the Graduate Aptitude Test in Engineering. The GATE statistics syllabus comprises 10 chapters. Candidates must refer to the GATE 2025 ST syllabus and paper pattern to plan their preparation strategy. Moreover, the GATE Statistics question paper is based on topics mentioned in the syllabus. The GATE 2025 exam is being held on February 1, 2, 15 & 16, 2025. Read the complete article to know more about the GATE 2025 syllabus for statistics.
Direct link to download the GATE 2025 ST syllabus
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The Indian Institute of Technology Roorkee released the syllabus for GATE ST 2025 online. The GATE 2025 syllabus includes topics such as Calculus, Matrix Theory, Probability, Standard discrete and continuous univariate distributions, Stochastic Processes, Estimation, Testing of Hypotheses, Non-parametric Statistics, Multivariate Analysis, Regression Analysis and more. Candidates can follow the syllabus to prepare for the entrance test.
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Topics | Sub Topics |
Calculus | Finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, Sequences of real numbers, convergence of sequences, bounded sequences, monotonic sequences, Cauchy criterion for convergence, Series of real numbers, convergence, tests of convergence, alternating series, absolute and conditional convergence, Power series and radius of convergence, Functions of a real variable: Limit, continuity, monotone functions, uniform continuity, differentiability, Rolle’s theorem, mean value theorems, Taylor’s theorem, L’ Hospital rules, maxima and minima, Riemann integration and its properties, improper integrals, Functions of several real variables: Limit, continuity, partial derivatives, directional derivatives, gradient, Taylor’s theorem, total derivative, maxima and minima, saddle point, method of Lagrange multipliers, double and triple integrals and their applications. |
Matrix Theory | Subspaces of span, linear independence, basis and dimension, row space and column space of a matrix, rank and nullity, row reduced echelon form, trace and determinant, inverse of a matrix, systems of linear equations; Inner products in and, Gram-Schmidt orthonormalization, Eigenvalues and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal, unitary matrices and their eigenvalues, change of basis matrix, equivalence and similarity, diagonalizability, positive definite and positive semi-definite matrices and their properties, quadratic forms, singular value decomposition. |
Probability | Axiomatic definition of probability, properties of probability function, conditional probability, Bayes’ theorem, independence of events, Random variables and their distributions, distribution function, probability mass function, probability density function and their properties, expectation, moments and moment generating function, quantiles, distribution of functions of a random variable, Chebyshev, Markov and Jensen inequalities. |
Standard discrete and continuous univariate distributions | Bernoulli, binomial, geometric, negative binomial, hypergeometric, discrete uniform, Poisson, continuous uniform, exponential, gamma, beta, Weibull, normal. Jointly distributed random variables and their distribution functions, probability mass function, probability density function and their properties, marginal and conditional distributions, conditional expectation and moments, product moments, simple correlation coefficient, joint moment generating function, independence of random variables, functions of random vector and their distributions, distributions of order statistics, joint and marginal distributions of order statistics, Multinomial distribution, bivariate normal distribution, sampling distributions: central, chi-square, central t, and central F distributions. Convergence in distribution, convergence in probability, convergence almost surely, convergence in r-th mean and their inter-relations, Slutsky’s lemma, Borel-Cantelli lemma, Weak and strong laws of large numbers; central limit theorem for i.i.d. random variables, delta method. |
Stochastic Processes | Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step transition probabilities, stationary distribution, Poisson process, birth and death process, pure-birth process, pure-death process, Brownian motion and its basic properties. |
Estimation | Sufficiency, minimal sufficiency, factorization theorem, completeness, completeness of exponential families, ancillary statistic, Basu’s theorem and its applications, unbiased estimation, uniformly minimum variance unbiased estimation, Rao-Blackwell theorem, Lehmann-Scheffe theorem, Cramer-Rao inequality, consistent estimators, method of moments estimators, method of maximum likelihood estimators and their properties Interval estimation: pivotal quantities and confidence intervals based on them, coverage probability. |
Testing of Hypotheses | Neyman-Pearson lemma, most powerful tests, monotone likelihood ratio (MLR) property, uniformly most powerful tests, uniformly most powerful tests for families having MLR property, uniformly most powerful unbiased tests, uniformly most powerful unbiased tests for exponential families, likelihood ratio tests, large sample tests. |
Non-parametric Statistics | Empirical distribution function and its properties, goodness of fit tests, chisquare test, Kolmogorov-Smirnov test, sign test, Wilcoxon signed rank test, Mann-Whitney U-test, rank correlation coefficients of Spearman and Kendall. |
Multivariate Analysis | Multivariate normal distribution: properties, conditional and marginal distributions, maximum likelihood estimation of mean vector and dispersion matrix, Hotelling’s T2 test, Wishart distribution and its basic properties, multiple and partial correlation coefficients and their basic properties. |
Regression Analysis | Simple and multiple linear regression, R2 and adjusted R2 and their applications, distributions of quadratic forms of random vectors: Fisher-Cochran theorem, GaussMarkov theorem, tests for regression coefficients, confidence intervals. |
GATE books are the best resources for the preparation of entrance tests. Candidates must be aware of the GATE Statistics syllabus to select the best book for GATE 2025 ST. Below is the list of the best books for GATE 2025 Statistics.
Book Name | Author Name |
The Foundations of Statistics | Leonard J. Savage |
Probability and Statistics | Murray R Spiegel, John J Schiller, and R Alu Srinivasan |
Miller and Freund’s Probability and Statistics For Engineers | Pearson |
GATE Statistics Practice Question Bank with Topic wise | Rajendra Dubey and Dr. Puneet Pasricha |
Matrix Theory | Joel Nick Franklin |
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Being aware of the GATE statistics syllabus with topic-wise weightage helps to secure a good rank in the exam. Knowing the syllabus weightage, candidates can prioritize the topics and manage their preparation strategy. While the topics with high weightage should be given priority, candidates must not neglect the remaining topics. GATE Statistics syllabus with topic weightage GATE exam analysis. Check the table for the GATE ST syllabus with topics-wise weightage.
Topics | Weightage |
Probability | 20% |
Calculus | 15% |
Multivariate Analysis | 10% |
Matrix Theory | 8% |
Stochastic Processes | 8% |
Estimation | 8% |
Testing of Hypotheses | 8% |
Regression Analysis | 8% |
There are a few topics that hold more weight as compared to other topics. So, here we have given the list of important topics of the GATE Statistics 2025 syllabus. The GATE Statistics syllabus important topics 2025 has more questions in the exam. Check the list of GATE Statistics syllabus 2025 important topics here.
S.No. | Calculus |
1. | Probability |
2. | Regression Analysis |
3. | Linear Equations |
4. | Estimation |
Aspirants can practice the GATE Statistics sample paper 2025 for quick revision and self-assessment. The questions in the sample paper of GATE ST are based on the exam syllabus. Candidates get familiar with the exam difficulty level by solving the GATE 2025 statistics sample paper. Here we have provided the previous year GATE Statistics sample paper.
GATE ST year-wise Sample Paper | GATE ST sample paper link |
IIT Roorkee activated the GATE Statistics 2025 mock test link on the official website. No login credentials are required to attempt the GATE mock test for Statistics. The mock test is a replica of the actual exam. The questions in the GATE Statistics mock test 2025 are based on the syllabus of GATE 2025. Hence, candidates should attempt this without fail.
Candidates appearing for the exam can check the GATE previous year's cutoff on this page. Knowing the cutoff of GATE Statistics helps students have a rough idea of what marks are required to clear the exam.
GATE Subject | Qualifying Marks | Qualifying Score | ||||
Statistics (ST) | GEN | EWS/OBC | SC/ST/PwD | GEN | EWS/OBC | SC/ST/PwD |
25 | 22.5 | 16.6 | 350 | 268 | 57 | |
The GATE 2025 syllabus includes topics such as Calculus, Matrix Theory, Probability, Standard discrete and continuous univariate distributions, Stochastic Processes, Estimation, Testing of Hypotheses, Non-parametric Statistics, Multivariate Analysis, Regression Analysis and more.
Start your preparation the moment you decide to get admission in an IIT or get a job at any PSU. As this exam is a gateway for your choices. So, start your preparation as early as possible.
Yes, the GATE 2025 Syllabus has been released on the official website.
IIT Roorkee released the mock test of GATE 2025 for Statistics on the official website.
IIT Roorkee announced the GATE branch-wise dates 2025 is available online,
GATE ST 2025 exam date is February 16, 2025.
Hello,
Yes, as per the latest GATE eligibility criteria , students who have completed a 3-year BSc (Bachelor of Science) degree can now apply for the GATE exam. But admission options through GATE score for such students are limited.
IITs: Generally do not allow admission to MTech, but some may offer MSc-PhD or research programmes.
IISc: Allows BSc students for Integrated PhD in science subjects.
NITs/IIITs: Mostly need BE/BTech, so limited chances for BSc students.
Best options: Integrated PhD, MS by Research, or research roles.
Hope it helps !
For GATE preparation, reputed institutes include Made Easy, ACE Engineering Academy, and GATEForum. These institutes offer structured curriculum, experienced faculty, and comprehensive study materials to help students excel in the GATE exam.
The GATE 2026 syllabus covers topics from various engineering disciplines. For Computer Science, it includes subjects like Digital Logic, Discrete Mathematics, Algorithms, Operating Systems, Databases, Theory of Computation, and Software Engineering, among others. Each subject is further divided into core concepts and topics for in-depth preparation.
Yes, it is possible to get admission to a BE in Electronics and Communication Engineering (ECE) in NIT Trichy without taking the GATE exam. GATE is specifically meant for postgraduate (M.Tech) admissions, not undergraduate (B.E.) admissions.
For a BE course, the procedure is as follows:
1. Eligibility:
You must have completed your 10+2 (or equivalent) with the required subjects (Physics, Mathematics, and an additional subject like Chemistry or Biology).
You should meet the required percentage cutoff as defined by NIT Trichy (usually around 75% for general category students).
2. Entrance Exam:
You must qualify JEE Main, which is the entrance test for undergraduate admissions to NITs, including NIT Trichy.
3. JoSAA Counseling:
Once you qualify for JEE Main, you must attend the JoSAA (Joint Seat Allocation Authority) counseling.
You will choose NIT Trichy as your first choice for admission during counseling. The seat will be allotted according to your JEE Main rank.
4. Seat Allotment and Admission:
You will be given a seat at NIT Trichy according to your JEE Main rank if you are within the cutoff.
Once seat allotment is over, you are required to present yourself at NIT Trichy for verification of documents and payment of fee to secure your admission.
5. Verification Documents:
You'll be required to bring your original documents (10th and 12th mark sheets, JEE Main score card, identity proof, etc.) for verification purposes.
6. Fee Payment
Once the seat is finalized, you will be paying the entry fee, which is different according to your category (OBC, SC, ST, general).
In short, GATE is not necessary for admission in the BE program at NIT Trichy.
List MTech colleges without GATE
Congratulations on qualifying GATE! Here is a detailed professional answer to your query:
1. GATE Score and Category Advantage:
A GATE score of 334 in Electronics and Communication Engineering (ECE) under the SC category gives you a decent advantage.
Cutoffs for SC candidates are usually much lower compared to the General category.
This score can open up opportunities in good institutes, but getting the topmost IIITs may still be slightly competitive for specialized branches like VLSI.
2. Admission Chances in Top IIITs for VLSI:
IIIT Hyderabad is one of the top IIITs for VLSI but generally requires a higher GATE score, even for SC candidates (around 400+).
Other IIITs like IIIT Bangalore, IIIT Delhi, IIIT Allahabad, and IIITDM Jabalpur may have lower cutoffs and offer decent chances for VLSI-related programs.
IIIT Bangalore considers both GATE scores and past academic performance, so you may still have a chance there with a strong profile.
3. Alternative Options to Consider:
NITs like NIT Trichy, NIT Surathkal, NIT Warangal, and MNIT Jaipur offer excellent VLSI programs and may have cutoffs suitable for your score under SC reservation.
Central universities such as IIITDM Kancheepuram and other newer IIITs could also be good backup options.
4. Important Suggestions:
Apply to a wide range of IIITs and NITs to maximize your chances.
Keep track of CCMT counselling and institute-specific admission processes.
Also check for special admission rounds or spot counselling if your preferred institute has vacant seats later.
5. Conclusion:
While securing VLSI in the very top IIITs like IIIT Hyderabad may be challenging, you still have very good chances in other reputed IIITs and NITs.
With proper choice filling and a little flexibility regarding specialization (like Embedded Systems or Microelectronics), you can secure a strong seat.
A flight attendant is a professional whose primary duty is to ensure the safety and comfort of passengers during an airline flight. An individual who is pursuing a career as a flight attendant is part of the cabin crew for the plane, a team of personnel who operate a commercial, business, or even military aircraft while travelling domestically or internationally.
An individual pursuing a career as a flight attendant is specially trained for the aircraft in which he or she works since passenger safety is their foremost concern. In this article, we will discuss how to become a flight attendant in India or how to become a flight attendant after graduation.
An aerospace engineer designs, develops, tests, and maintains aircraft, spacecraft, and related systems. They apply physics and engineering principles to improve aerospace technologies, often working in aviation, defence, or space sectors. Key tasks include designing components, conducting tests, and performing research. A bachelor’s degree is essential, with higher roles requiring advanced study. The role demands analytical skills, technical knowledge, precision, and effective communication.
A career in the aviation industry always sounds exciting. But, there is no scope for the slightest error as it may cost the lives of many people. A Flight Engineer role comes with the responsibility of monitoring the aircraft engine and control systems while in flight. Whenever the aircraft is away from the home station, he or she is required to perform pre-flight and post-flight inspections
An Aircrew Officer operates and navigates aircraft, ensuring safe flights and compliance with aviation regulations. Key duties include managing flight systems, conducting pre- and post-flight checks, and adhering to safety standards. The role typically requires working five days a week, with around 120 flight hours monthly. Employment may be contractual or permanent, depending on the airline.
An air hostess, or flight attendant, ensures passenger safety and comfort during flights. Responsibilities include safety demonstrations, serving meals, managing the cabin, handling emergencies, and post-flight reporting. The role demands strong communication skills, a calm demeanour, and a service-oriented attitude. It offers opportunities to travel and work in the dynamic aviation and hospitality industry.
An aeronautical engineer designs, develops, tests, and maintains aircraft and related systems. They work on components like engines and wings, ensuring performance, safety, and efficiency. The role involves simulations, flight testing, research, and technological innovation to improve fuel efficiency and reduce noise. Aeronautical engineers collaborate with teams in aerospace companies, government agencies, or research institutions, requiring strong skills in physics, mathematics, and engineering principles.
A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.
An airline pilot operates aircraft to transport passengers and cargo safely. Responsibilities include pre-flight planning, in-flight operations, team collaboration, and post-flight duties. Pilots work in varying schedules and environments, often with overnight layovers. The demand for airline pilots is expected to grow, driven by retirements and industry expansion. The role requires specialized training and adaptability.
Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.
A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.
Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems.
A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.
A Conservation Architect is a professional responsible for conserving and restoring buildings or monuments having a historic value. He or she applies techniques to document and stabilise the object’s state without any further damage. A Conservation Architect restores the monuments and heritage buildings to bring them back to their original state.
A Structural Engineer designs buildings, bridges, and other related structures. He or she analyzes the structures and makes sure the structures are strong enough to be used by the people. A career as a Structural Engineer requires working in the construction process. It comes under the civil engineering discipline. A Structure Engineer creates structural models with the help of computer-aided design software.
Highway Engineer Job Description: A Highway Engineer is a civil engineer who specialises in planning and building thousands of miles of roads that support connectivity and allow transportation across the country. He or she ensures that traffic management schemes are effectively planned concerning economic sustainability and successful implementation.
Are you searching for a Field Surveyor Job Description? A Field Surveyor is a professional responsible for conducting field surveys for various places or geographical conditions. He or she collects the required data and information as per the instructions given by senior officials.
Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.
A geologist attempts to comprehend the historical backdrop of the planet we live on, all the more likely to anticipate the future and clarify current events. He or she analyses the components, deployments, results, physical characteristics, and past of the planet. A geologist examines the landforms and landscapes of the earth in relation to the geology, climatic, and human processes that have shaped them.
A geologist studies earth procedures, for example, seismic tremors, avalanches, floods, and volcanic eruptions to review land and draw up safe structure plans. When he or she researches earth materials, explores metals and minerals, yet in addition search for oil, petroleum gas, water, and strategies to extricate these.
Energy efficiency engineering is a broad field of engineering which deals with energy efficiency, energy services, facility management, plant engineering, and sustainable energy resources. Energy efficiency engineering is one of the most recent engineering disciplines to emerge. The field combines the knowledge and understanding of physics, chemistry, and mathematics, with economic and environmental engineering practices. The main job of individuals who opt for a career as an energy performance engineer is to find the most efficient and sustainable path to operate buildings and manufacturing processes.
Individuals who opt for a career as energy performance engineers apply their understanding and knowledge to increase efficiency and further develop renewable sources of energy. The energy efficiency engineers also examine the use of energy in those procedures and suggest the ways in which systems can be improved.
A career as a Petroleum engineer is concerned with activities related to producing petroleum. These products can be in the form of either crude oil or natural gas. Petroleum engineering also requires the exploration and refinement of petroleum resources. Therefore, a career as a petroleum engineer comes up with oil and gas onshore jobs. There are also desk jobs in the petroleum industry. In layman’s terms, a petroleum engineer is a person who finds the best way to drill and extract oil from oil wells. Individuals who opt for a career as petroleum engineer also tries to find new ways to extract oil in an efficient manner.
A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.
A career as a civil engineer is of great importance for the infrastructural growth of the country. It is one of the most popular professions and there is great professional as well as personal growth in this civil engineering career path. There is job satisfaction in this civil engineering career path, but it also comes with a lot of stress, as there are multiple projects that need to be handled and have to be completed on time. Students should pursue physics, chemistry and mathematics in their 10+2 to become civil engineers.
A career as a Transportation Engineer is someone who takes care of people's safety. He or she is responsible for designing, planning and constructing a safe and secure transportation system. The transportation sector has seen a huge transformation and is growing day by day and improving every day.
As a Transport Engineer, he or she needs to solve complex problems such as accidents, costs, traffic flow, and statistics. A Transport Engineer also collaborates for projects with some other companies.
A loco pilot or locomotive pilot is a professional responsible for operating trains. He or she starts, stops, or controls the speed of the train. A locomotive pilot ensures that the train operates according to time schedules and signals. These loco pilots are responsible for carrying people and products to distinct destinations.
A loco pilot has thorough knowledge and understanding of the railway operations, rules, regulations, protocols, and measures to take in times of emergency. Their role is crucial in ensuring passenger and freight trains' smooth and safe operation. Here, in this article, we will discuss everything on how to how to become a loco pilot.
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