Saddlepoint approximations to the distribution of the total distance of the multivariate isotropic and von Mises-Fisher random walks
type: Item
instance of: scholarly article
title: Saddlepoint approximations to the distribution of the total distance of the multivariate isotropic and von Mises-Fisher random walks
zbMATH Open document ID: 1421.62062
DOI: 10.3103/S1066530717010021
author: Peng Zhang
published in: Mathematical Methods of Statistics
publication date: 2017-11-17T00:00:00Z
Mathematics Subject Classification ID: 62H11
Mathematics Subject Classification ID: 62E17
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60F10
zbMATH DE Number: 6808443
zbMATH Keywords: Bessel function
zbMATH Keywords: directional distribution
zbMATH Keywords: large deviations approximation
zbMATH Keywords: relative error
zbMATH Keywords: resultant length
MaRDI profile type: Publication
cites work: Q3331506
cites work: Computation of Modified Bessel Functions and Their Ratios
cites work: Q3546376
cites work: Q5671467
cites work: Q5640518
cites work: Q3825928
cites work: Saddlepoint Approximations in Statistics
cites work: Q3250680
cites work: On the empirical saddlepoint approximation
cites work: Small sample asymptotic expansions for multivariate M-estimates
cites work: Q4001813
cites work: Q4214060
cites work: Multivariate Saddlepoint test for the wrapped normal model
cites work: Large deviations approximations to distributions of the total distance of compound random walks with von Mises directions
cites work: A Conditional Saddlepoint Approximation for Testing Problems
cites work: Q3580418
cites work: Saddlepoint approximations for some models of circular data
cites work: On maximum likelihood estimation of the concentration parameter of von Mises-Fisher distributions
cites work: Saddlepoint approximations
cites work: A characterization of the uniform distribution on the circle
cites work: Series approximation methods in statistics.
cites work: Saddlepoint approximations for the Bingham and Fisher–Bingham normalising constants
cites work: Saddle point approximation for the distribution of the sum of independent random variables
cites work: Saddlepoint Test in Measurement Error Models
cites work: Q3836517
cites work: Q3870155
cites work: Random flights in higher spaces
cites work: Saddlepoint methods and statistical inference. With comments and a rejoinder by the author
cites work: Q3948443
cites work: Saddlepoint approximations and tests based on multivariate \(M\)-estimates.
cites work: Q4298907
cites work: Exact probability distributions for noncorrelated random walk models
cites work: The Uniform Asymptotic Expansion of a Class of Integrals Related to Cumulative Distribution Functions
cites work: Saddlepoint expansions in finite population problems
cites work: One-step saddlepoint approximations for quantiles
cites work: The Pearson random walk with unequal step sizes
full work available at URL: s1066530717010021
OpenAlex ID: W2618766770
description: scientific article; zbMATH DE number 6808443