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Computing the variances of waiting times for patterns HH and TH in coin flip

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#probability #random-variables #conditional-expectation
141
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Types of convergence for sequence of random variables

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#probability #convergence-divergence #random-variables
60
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geometric way to determine distribution

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#probability #probability-theory #random-variables #random-matrices
62
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Choice of Square size for Monte Carlo computation of Pi

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#probability #integration #random-variables #pi #monte-carlo
106
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Problem on Statistics - Functions of Random Variables

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#statistics #probability-distributions #random-variables
268
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Obtaining a positive definite covariance matrix of order statistics

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#integration #numerical-methods #random-variables #positive-definite #order-statistics
362
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$X_n \rightarrow_{a.s.} X$ versus $X_n=X$ wpa 1

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#limits #probability-theory #measure-theory #convergence-divergence #random-variables
39
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Show that there exist $ b \in (0, \infty)$ such that $\lim_{n \to \infty} exp(bn) \cdot P((1/n)\cdot \sum_{i=1}^n X_i >a)=0$

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#probability #inequality #random-variables
35
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Statistics - Uniformly distributed random variables

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#probability #statistics #random-variables
107
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X,Y,Z independent and $\sim N(1,1)$. Find $P(X+Y \geqq 3Z)$

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#probability #probability-theory #random-variables
119
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Probability of i.i.d uniform random variables

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#probability #random-variables #uniform-distribution
153
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Convergence for sums of independent r.v.'s.

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#sequences-and-series #probability-theory #convergence-divergence #random-variables #borel-cantelli-lemmas
51
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PDF of $\tfrac{aX}{b + cX}$

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#probability-distributions #random-variables #density-function
225
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An identity for the Laplace transform of a random variable and Isserlis theorem

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#probability #random-variables #laplace-transform
223
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Let $X_1, X_2, \dots,X_n$ independent random variables.

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#probability #probability-theory #probability-distributions #random-variables #expectation

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