Multiattribute acceptance sampling plans - Library(ISI Kolkata ...
Multiattribute acceptance sampling plans - Library(ISI Kolkata ...
Multiattribute acceptance sampling plans - Library(ISI Kolkata ...
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...(1.1.5)<br />
From (1.1.4) and (1.1.5) it follows that the unconditional probability is<br />
( )( ) ( )<br />
n n − x(1) n − x(r−1)<br />
P r(x 1 , x 2 , ..., x r | p 1 , p 2 , ..., p r ) =<br />
...<br />
p x 1<br />
1 ...p xr<br />
r (1 − p (r) ) (n−x(r)) ,<br />
x 1 x 2 x r<br />
. where<br />
x (i) = x 1 +x 2 +...+x i , i = 1, 2, ..., r 0 ≤ x (1) ≤ x (2) ... ≤ x (r) ≤ n; 0 < p i < 1, i = 1, 2, ..., r; p (r) < 1.<br />
...(1.1.6)<br />
Thus the average probability follows multinomial distribution with parameter (n, p 1 , p 2 , ..., p r ).<br />
1.1.4 Poisson conditions<br />
Hald (1981) has used the phrase ‘under Poisson conditions’ when Poisson probability can be<br />
used as an approximation to the binomial in the expressions of type B OC function. We use<br />
the phrase to cover the situations as described below.<br />
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