New expression for CDF of \(\chi_{\nu}^{\prime 2}(\lambda)\) distribution and Marcum \(Q_1\) function
DOI10.1007/s00025-022-01634-3zbMath1506.60023OpenAlexW4221059420MaRDI QIDQ2124520
Tibor K. Pogány, Yu. A. Brychkov, Dragana Jankov Maširević
Publication date: 11 April 2022
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-022-01634-3
modified Bessel function of the first kindCDF of non-central \(\chi^2\) distributionGoldstein \(I(\xi, \eta)\) functionHumbert \(\Phi_1\) and \(\Phi_3\) functionsMarcum \(Q_1\) function
Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Appell, Horn and Lauricella functions (33C65)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Properties of the probability density function of the non-central chi-squared distribution
- Modified Bessel functions and their applications in probability and statistics
- CDF of non-central \(\chi^2\) distribution revisited. Incomplete hypergeometric type functions approach
- On new formulas for the cumulative distribution function of the noncentral chi-square distribution
- Asymptotic and numerical aspects of the noncentral chi-square distribution
- On some properties of the MarcumQfunction
- Analytic Expressions and Bounds for Special Functions and Applications in Communication Theory
- On the Computation of Non-Central Chi-Square Distribution Function
- A special function of communication theory
- Approximations to the non-central chi-square distribution
- On the mathematics of exchange processes in fixed columns I. Mathematical solutions and asymptotic expansions
This page was built for publication: New expression for CDF of \(\chi_{\nu}^{\prime 2}(\lambda)\) distribution and Marcum \(Q_1\) function
