Question

Given independent random variables $X_{k}\sim\text{Poisson}(\lambda_{k})$, what is the distribution of $X_{1} + X_{2} + \ldots + X_{n}$?

score 102 · Answer 1 · 2026-03-25 23:38:24

102

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Given independent random variables $X_{k}\sim\text{Poisson}(\lambda_{k})$, what is the distribution of $X_{1} + X_{2} + \ldots + X_{n}$?

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78

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List Question

Given independent random variables $X_{k}\sim\text{Poisson}(\lambda_{k})$, what is the distribution of $X_{1} + X_{2} + \ldots + X_{n}$?

The sum of the total number of service representatives who spoke with all the customers who called during a minute.

Solving a problem about Poisson distribution where the sample is a Poisson r.v.

Poisson random variable power series

Poisson and Binomial RVs

Pitman probability poisson approximation

Difficulty finding average in a Poisson distribution Question

Weighted maximum likelihood estimator for poisson variables

Why Poisson probability P(X < λ) is greater than P(X > λ)?

Expected value of falling factorials from axioms of Poisson process

Closed-form expression for Poisson-Binomial series

Find probability mass function of $Y=N-X$

Escaping probability for a poisson random walk

poisson random variable + conditional probability

Conditional expectation of $\mathbb{E}(X | X^2 + Y^2)$, with Poisson distribution

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