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1. Let X1,X2,Xn be a random sample of negative binomial random variable, X with parameters
r and p. Recall that X is the number of trials needed to get the r-th success in independent
Bernoulli trials, p is probability of success in each trial and E(X)=pr,Var(X)=rp21p Find method
of moments estimators (MME's) of r and p.

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1. Let X1,X2,Xn be a random sample of negative binomial random vari.pdf

  • 1. 1. Let X1,X2,Xn be a random sample of negative binomial random variable, X with parameters r and p. Recall that X is the number of trials needed to get the r-th success in independent Bernoulli trials, p is probability of success in each trial and E(X)=pr,Var(X)=rp21p Find method of moments estimators (MME's) of r and p.