64 m kj izns'k jktf"kZ V.Mu eqDr fo'ofo|ky;] bykgkckn

196
103
m kj izns’k jktf"kZ V.Mu eqDr fo’ofo|ky;] bykgkckn
vf/kU;kl (Assignment) 2012-2013
Lukrd foKku dk;ZØe ¼ch0,l0lh0½
Bachlor of Science Programme (B.Sc)
(ii)
Possion distribution with parameter q
[k.M & c
Section B
vf/kdre vad % 12
Max. Marks:12
fo’k; % la[;dh
Subject : Statistics
dkslZ “kh’kZd %
Subject Title : Advanced Stahncal
Inference
fo’k; dksM% ;w0th0,l0Vh0,0Vh0
Subject Code : UGSTAT
dkslZ dksM % ,e0,0,l0Vh0,0Vh0&08
Course Code : UGSTAT-8
uksV % ykq mRrjh; iz”uA vius iz”uksa ds mRrj 200 ls 300 “kCnksa esa fy[ksaA lHkh
iz”u vfuok;Z gSA
Note : Short Answer Questions. Answer should be given in 200 to 300 words.
Answer all questions.
Section - A
[k.M & v
vf/kdre vad % 30
Maximum Marks:30
vf/kdre vad % 18
Max. Marks:18
uksV % nhkZ mRrjh; iz”uA vius iz”uksa ds mRrj 800 ls 1000 “kCnksa esa fy[ksaA lHkh
iz”u vfuok;Z gSA
Note : Long Answer Questions. Answer should be given in 800 to 1000 words.
Answer all questions.
1- Explain the significance of Rao Blackwell theorem. 6
4- What do you mean by shortest length confidence interval. Illustrate with an
example. 3
5- Describe likelihood ratio test giving at least one example. Is the likelihood
ratio test unbiased test 3
6- Giving necessary argument prove that sequential probability Ratio Test
terminates with probability one. 3
7- What do you mean by Best Linear unbiased estimator Is Best linear
unbiased estimator unique 3
2- How can you find the uniformly minimum varance Unbaised estimator of an
unknown parameter using Rao Blackwell Lehmann Scheffe Theorem 6
3- Define one parameters exponential family of distribution and its
completeness. Are the following family of probability density function/
probability mass function complete. 6
(i)
Normal distribution with mean q and variance unity.