# Ratio Test Statistic: Asymptotic Distribution of Likelihood

Topics: Normal distribution, Likelihood-ratio test, Probability density function Pages: 14 (3083 words) Published: February 28, 2013
On Asymptotic Distribution Of Likelihood
Ratio Test Statistic When Parameters Lie On
The Boundary

A Project Submitted To The Department Of Statistics
University Of Kalyani, For Fulfillment Of M.SC 4th Semester
Degree In Statistics.

Submitted by
Suvo Chatterjee
Under the supervision of
Dr. Sisir Kr. Samanta
Department Of Statistics UNIVERSITY OF KALYANI
Kalyani-741235

DECLARATION

I , Suvo Chatterjee , a M.SC student of department of statistics , university of kalyani hereby declare that my project entitled “On Asymptotic Distribution Of Likelihood Ratio Test Statistic When Parameters Lie On The Boundary” has been completed by me as a part of my M.SC examinations under the supervision of Dr. Sisir Samanta department of statistics , university of kalyani. This work has not been published elsewhere.

Date: 30-7-2012 (Suvo Chatterjee)

Dr. Sisir Kr. Samanta Kalyani-741235 Reader Nadia, West Bengal, India Department of Statistics

This is to certify that the work recorded in the project report entitled as“On Asymptotic Distribution Of Likelihood Ratio Test Statistic When Parameters Lie On The Boundary” submitted by Suvo Chatterjee M.sc 4th Semester department of statistics , is carried out under my personal supervision and guidance.This work to my knowledge has not been published elsewhere.

Date: 30-7-2012 (Dr. Sisir Kr. Samanta)

ACKNOWLEDGEMENT

I , solemnly express my gratitude to my superviser Dr. Sisir Kr. Samanta , Reader, department of statistics, university of Kalyani, who has acted as a pioneer guide to solve problems of this project. Once again I express my heartfull gratitude for his proper guidance and encouragement.

I also express my regard to all teachers, especially Prof. S.S Maity, and staffs of my department for their kind helping hand.They have stretched their hands whenever required during the preparation of my project.

(Suvo Chatterjee)

On Asymptotic Distribution Of Likelihood Ratio Test Statistic When Parameters

Lie On The Boundary...