Statistics

IIT JAM Mathematical Statistic
Topics to prepare for the IIT JAM MATHEMATICAL Statistics exam
*MATHEMATICS*
1. Sequence and series
2. Differential Calculus
3. Internal Calculus
4. Matrix
5. Differential Equations
*STATISTIC*
1. Probability
2. Random Variable
3. Standard Distribution
4. Joint Distribution
5. Sampling Distribution
6. Limit Theorems
7. Estimation
8. Testing of Hypotheses
Mathematical Statistics test paper comprises mathematics (40% of weightage) and Statistics (60% of weightage)
I hope now it will be clear to you where to focus more. After preparing these topics, if you want to boost your preparation with some best study material, which includes a complete syllabus, preparations notes, previous year questions, and so on. BEST books for the preparation of IIT JAM MATHEMATICS exam 2021
The below-mentioned table states the topic-wise books for the IIT JAM mathematics exam:
Mathematics
Sequences and Series: N. N Bhattacharya's book (I am sure ECC students are quite aware of it). Differential Calculus: Read the differential calculus book of Goarakh Prasad
Integral Calculus: Again Gorakh Prasads book
Matrices: Schaum series, N. N Bhattacharya's Book
Differential Equations: Gorakh Prasads Book
Statistics
In statistics, these are the topic mentioned in the syllabus:-
Probability: Introduction to probability theory, by Hotel, Port, and Stone. Random Variables: Introduction to probability theory, by Hotel, Port, and Stone
Standard Distributions: Introduction to probability theory, by Hotel, Port, and Stone. Sampling distributions: Introduction to probability theory, by Hotel, Port, and Stone. Limit Theorems:- Introduction to probability theory, by Hotel, Port, and Stone. Testing of Hypotheses: Casella Berger's Statistical inference. IMPORTANT TOPICS - Although every topic is important, focus more on Distribution Theory, Bayes theorem, Maximum Likelihood Estimator, Unbiasedness, Consistency, etc.
To know more information https://www.quora.com/How-do-I-prepare-for-IIT-JAM-mathematical-statistics

Hello Shraddha, it's very nice to hear from you that after doing your B.Sc. In statistics you are interested in doing your M.Tech. If I may ask query why you are interested in shifting from statistics to doing M.Tech a totally different field. I feel that even the job opportunities that you have as an expert or a professional in statistics are much more than what you will get after doing your M.Tech. My sincere advice to you would be to continue your study in statistics and go for M.Sc. Rather than going for M.Tech in some field. However to help you I am attaching a link that will give you all the required information about qualifying examination for M.Tech called GATE. https://www.shiksha.com/engineering/articles/gate-2021-exam-blogId-31641
Best wishes to you.