Negative Binomial and Chi-square

sam_0017 · 2011-09-30T14:33:34+00:00

[SIZE="5"]can anyone help me with this question :

Thread starter sam_0017
Start date Sep 30, 2011
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Binomial Negative

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sam_0017

Thread starter
Sep 30, 2011

can anyone help me with this question :

Printed problem text on estimating k and p for a negative binomial distribution: Neg Bin(k, p) with E[X] = k(1 - p)/p and Var[X] = k(1 - p)/p^2, asking how to obtain k-hat and p-hat from the sample mean and sample variance of fishing data.

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Stephen Tashi

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Sep 30, 2011

I haven't looked at the problem closely. Is there some difficulty in solving the simultaneous equations for p and k ?

[tex]\bar{x} = \frac{ k(1-p)}{p}[/tex]
[tex]s^2 = \frac{k(1-p)}{p^2} = \frac{\bar{x}}{p}[/tex]

Negative Binomial and Chi-square

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