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CDF of a convergent positive series

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#probability #limits #pointwise-convergence #cumulative-distribution-functions
103
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Cumulative distribution function of $2X-3Y$, where $X,Y$ are uniformly distributed

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#probability-theory #random-variables #uniform-distribution #density-function #cumulative-distribution-functions
29
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How can I show that a particular expression is positive?

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#inequality #proof-writing #cumulative-distribution-functions
46
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CDF of a continuous and discrete random variable - attributes

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#random-variables #definition #cumulative-distribution-functions
62
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If the p.m.f. of $X$ is given by $f(x)=p(1-p)^{x-1}$ where $0<p<1$, $x \in J^{+}$, determine the cumulative distrubution function of $X$.

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#probability-distributions #cumulative-distribution-functions
19
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Constructing particular sequence of finitely supported measures converging to a given measure

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#measure-theory #weak-convergence #pointwise-convergence #cumulative-distribution-functions
40
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How does the derivative of a (multivariate) CDF relate to its Lebesgue density?

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#probability-theory #measure-theory #probability-distributions #lebesgue-measure #cumulative-distribution-functions
76
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$\sigma$-algebra generated by $F_X (X)$

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#probability #probability-theory #measure-theory #probability-distributions #cumulative-distribution-functions
55
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Convex order stochastic dominance for nonnegative integer valued random variables

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#probability #probability-theory #cumulative-distribution-functions #convexity-inequality #reliability
59
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Joint CDF of two random variables - rectangular region equation

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#probability #statistics #random-variables #cumulative-distribution-functions
82
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Expected value of max function of a random variable: understanding the proof

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#integration #definite-integrals #expected-value #cumulative-distribution-functions
40
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Derivation of the cumulative distribution function for the beta-binomial distribution

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#probability-distributions #binomial-distribution #hypergeometric-function #cumulative-distribution-functions #beta-function
43
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Why do the increasing sequences $x_n, y_n$, decrease to $x,y$ to show a bivariate (or univariate) cdf is right continuous?

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#probability-theory #philosophy #cumulative-distribution-functions
69
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$\Pr(X_n\leq x) \to \Pr(X\leq x)$ for $x\geq 0$ and $\Pr(X_n< x) \to \Pr(X\leq x)$ for $x<0$ imply convergence in distribution?

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#probability #probability-theory #weak-convergence #probability-limit-theorems #cumulative-distribution-functions
11
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Sequence of sets of p-quantiles converging to a given set of p-quantiles

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#sequence-of-function #cumulative-distribution-functions #quantile

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