The Expected Value and Variance of the Reciprocal and Other Negative Powers of a Positive Bernoullian Variate

DOI10.1214/aoms/1177731170zbMath0063.07181OpenAlexW2035643961MaRDI QIDQ5846194

Publication date: 1945

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177731170

Related Items (25)

On some properties of variable size simple random sampling and a limit theorem ⋮ An alternative to ratio estimator in post-stratification ⋮ Method of estimation from samples with random sample sizes ⋮ A winner's mean earnings in lottery and inverse moments of the binomial distribution ⋮ On a heuristic treatment of the 'indices of dispersion' ⋮ A new ratio type estimator for computation of population mean under post-stratification ⋮ Unnamed Item ⋮ Approximating the negative moments of the Poisson distribution. ⋮ Approximation of inverse moments of discrete distributions ⋮ Asymptotic expansions for inverse moments of binomial and negative binomial ⋮ Postgrouped sampling method of estimation ⋮ Sensitivity analysis for incomplete continuous data ⋮ Item response theory with estimation of the latent population distribution using spline-based densities ⋮ Inverse moments of discrete distributions ⋮ Multi-Center Clinical Trials with Random Enrollment: Theoretical Approximations ⋮ On inverse moments of nonnegative random variables ⋮ Estimation of Mean Using Auxiliary Information and Post-Stratification ⋮ An exact small sample theory for post-stratification ⋮ On the derivation of expected value and variance of ratios without the use of infinite series expansions ⋮ Asymptotic inference for partially observed branching processes ⋮ Negative moments of a modified power series distribution and bias of the maximum likelihood estimator ⋮ On an asymptotic series of Ramanujan ⋮ Application of item sum technique for estimating quantitative sensitive mean on successive moves using auxiliary information ⋮ Some Results About Standardization for a Non Confounder in Estimators of (log) Relative Risk ⋮ THREE-STAGE POINT ESTIMATION OF THE MEAN IN POSTSTRATIFICATION

This page was built for publication: The Expected Value and Variance of the Reciprocal and Other Negative Powers of a Positive Bernoullian Variate