Suppose that X1 Xr, are independent random variables, each with a geometric distribution with parameter p Explain why Y X1 Xr has a negative binomial distribution with parameters p and r Use this relationship to establish the mean and variance of a negative binomial distribution ...

Notice that a negative binomial distribution with paramete ...

Suppose that X1.........Xr, are independent random variables, each with a geometric distribution with parameter p. Explain why

Question:

Suppose that X1.........Xr, are independent random variables, each with a geometric with parameter p. Explain why
Y = X1 +∙∙∙∙∙∙∙∙∙ + Xr
has a negative binomial with parameters p and r. Use this relationship to establish the mean and variance of a negative binomial 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...