The negative binomial distribution is unimodal with a mode at the integer part of (k 1) k Show that the mode is 0 when 1, and that when 1 the mode is still 0 if k ( 1) (This gives greater scope than the Poisson, since its mode equals the integer part of the mean ) ...

Show that the mode of the Negative Binomial Distribution is zero Let X be a Negative Binomial random ...

The negative binomial distribution is unimodal with a mode at the integer part of (k 1)/k.

Question:

The negative binomial distribution is unimodal with a mode at the integer part of µ(k – 1)/k. Show that the mode is 0 when µ ≤ 1, and that when µ > 1 the mode is still 0 if k < µ/(µ – 1). (This gives greater scope than the Poisson, since its mode equals the integer part of the mean.)

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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