Statistical Inference I Question Paper
Statistical Inference I
Course:Bachelor Of Science In Statistics
Institution: South Eastern Kenya University question papers
Exam Year:2017
STA 318
Statistical Inference I
Bachelor of science: Statistics and Actuarial science
Year 3 semester 1 and year 3 semester 2
1. (5mks)
a) Define the following terms:
i. A statistic
ii. Point estimator
iii. likelihood function
iv. Inference
v. Relative efficiency
b) Determine theUMVUE of :
i) T(0)=1/0
ii)T(0)=e^-0. NB.e^-0=P(X>1)
(4mks)
c) Assignment 1- Prove sample variance is unbiased and has a chi-square distribution.
(n-1)s^2÷(p^2)~X^2(n-1). 5mks
2.
a)List the methods of point estimation and give the main functionality 6mks
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