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Why $\mathbb{P}(X\geq u) \leq e^{-u}$?

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#probability #random-variables #poisson-distribution
800
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What is THE MAIN DIFFERENCE between the Binomial and the Poisson’s distributions?

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#poisson-distribution #binomial-distribution
192
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Joint exponential probability

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#probability #poisson-distribution #density-function #exponential-distribution
576
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Poisson distribution with an integer $\lambda$ value

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#probability #probability-distributions #intuition #poisson-distribution
98
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Generation of a Poisson process

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#probability #probability-distributions #poisson-distribution #poisson-process
162
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How to derive Negative Binomial process from Poisson process?

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#probability #stochastic-processes #poisson-distribution #poisson-process #negative-binomial
43
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Why do we have to modify $\lambda$ instead of $x$ when solving a problem using the Poisson distribution?

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#probability #probability-distributions #poisson-distribution
51
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Scaled poisson distribution variance

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#probability #poisson-distribution
204
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Given X~Poi(λ) and that X balls are dropped into n bins, what does "X balls" exactly refer to?

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#probability-theory #poisson-distribution #balls-in-bins
96
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Why does CLT simulation of a Poisson population have "holes" in the histogram?

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#poisson-distribution #central-limit-theorem #simulation
107
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Sum of random number of random variables is negativ binomial distributed.

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#probability #probability-distributions #poisson-distribution #negative-binomial
143
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Literature on the uses and applications of Probability Distributions

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#probability-distributions #normal-distribution #poisson-distribution #binomial-distribution #gamma-distribution
96
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Compound random variables.

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#probability-distributions #poisson-distribution
467
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Find the best upper bound on the probability that I catch at least 5 salmon given that the total number of fish I catch is 10 on average

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#probability #poisson-distribution #upper-lower-bounds
382
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Using Chernoff's Bound on a Poisson distribution

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#probability #poisson-distribution #upper-lower-bounds

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