
doi: 10.1137/0908071
Fast recursive algorithms for computing single and multivariate distributions of order statistics are presented, for sequences of either independent or first order Markov random variables (not necessarily identically distributed). Formulas for computing first and second moments of linear estimators based on discrete order statistics directly from their distributions are given.
Numerical solutions to stochastic differential and integral equations, Exact distribution theory in statistics, Probabilistic methods, stochastic differential equations, first order Markov random variables, Multivariate distribution of statistics, Fast recursive algorithms, Order statistics; empirical distribution functions, moments of L-estimates, discrete order statistics, distributions of order statistics, moments of linear estimators
Numerical solutions to stochastic differential and integral equations, Exact distribution theory in statistics, Probabilistic methods, stochastic differential equations, first order Markov random variables, Multivariate distribution of statistics, Fast recursive algorithms, Order statistics; empirical distribution functions, moments of L-estimates, discrete order statistics, distributions of order statistics, moments of linear estimators
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