# Non-parametric Statistical Inference

By Prof. Niladri Chatterjee   |   IIT Delhi
Learners enrolled: 538
In this course we shall study Non-parameteric statistical inference. This is different from parametric Statistical Inference as here the underlying distribution is assumed to be unknown. Also, these work when the population is not Normally distributed. It has major applications in many practical situations. Also, is used in Data Science and Machine Learning.

INTENDED AUDIENCE
B.Sc /B.Tech students in Statistics, maths& Computing/ Comp. Sc.

PREREQUISITES : Basic understanding of Statistics and Probability

INDUSTRIES  SUPPORT     : Any company that deal with data will need this
Summary
 Course Status : Completed Course Type : Elective Duration : 4 weeks Category : Mathematics Credit Points : 1 Level : Undergraduate Start Date : 25 Jul 2022 End Date : 19 Aug 2022 Enrollment Ends : 08 Aug 2022 Exam Date : 25 Sep 2022 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

### Course layout

Week 1:Introduction to Non-parametric Inference , Estimation of Location and Dispersion, Introduction to Linear Rank Statistics
Week 2:Linear ranks tests for Scale Problem, Some results on Linear Rank Statistics
Week 3: Tests of Goodness of Fit , Tests of Randomness The General Two-Sample Problem, Run Test, Median Test, Kolmogorov-Smirnov Test
Week 4:Measures of Association of Bi-variate samples, Kendall’s Tau Coefficient, Spearman’s Rank Coefficient, Equality of k independent samples.

### Books and references

1. Probability and Statistics for Engineers, Anthony J Hayter CENGAGE Learning
2. Non-parametric Statistical Inference, J.D. Gibbons and S. Chakraborti

### Instructor bio

IIT Delhi
Prof. Niladri Chatterjee is a Professor in Department of Mathematics, IIT Delhi. He is also the Chair Professor in Artificial Intelligence. He has more than 25 years of teaching experience in various subjects of Statistics and Computer Science. He is also the coordinator of IIT PAL Channel of Mathematics.

### Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 25 September 2022 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 3 assignments out of the total 4 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team