Estimation and Inferential Statistics by Pradip Kumar Sahu Santi Ranjan Pal & Ajit Kumar Das

Estimation and Inferential Statistics by Pradip Kumar Sahu Santi Ranjan Pal & Ajit Kumar Das

Author:Pradip Kumar Sahu, Santi Ranjan Pal & Ajit Kumar Das
Language: eng
Format: epub
Publisher: Springer India, New Delhi


i.e. if reject

accept

draw a random number with probability of rejection ‘a’ and probability of acceptance (1 − a).

Large sample test

Under

under

Case 3

Under

Suppose under where

Under where

So a small or a large value of S indicates the rejection of . Here the test is

where and are such that

and . For simplicity we take .

‘a 1’ and ‘a 2’ are such that

Thus, we reject if or .

We accept if and random or no conclusion if or .

Large sample test: Under ,



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