Transcendental Function Representations of the Probability Density Function and the Cumulative Distribution Function for a Product-structured Stochastic Process Model
Summary :
A flexible, Product-structured stchastic process model may be represented by the modified Bessel pdf (probability density function) of the third kind and the Struve cdf (cumulative distribution function) which were formerly represented by a single integral and a double integral respectively. These transcendental functions representation may be used for a rapid and precise computation of the pdf and cdf. The explicit representation of moments by a gamma function is also given.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E71-E No.7 pp.633-636
- Publication Date
- 1988/07/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- General and Electrical Acoustics
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Shiro EHARA, "Transcendental Function Representations of the Probability Density Function and the Cumulative Distribution Function for a Product-structured Stochastic Process Model" in IEICE TRANSACTIONS on transactions,
vol. E71-E, no. 7, pp. 633-636, July 1988, doi: .
Abstract: A flexible, Product-structured stchastic process model may be represented by the modified Bessel pdf (probability density function) of the third kind and the Struve cdf (cumulative distribution function) which were formerly represented by a single integral and a double integral respectively. These transcendental functions representation may be used for a rapid and precise computation of the pdf and cdf. The explicit representation of moments by a gamma function is also given.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e71-e_7_633/_p
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@ARTICLE{e71-e_7_633,
author={Shiro EHARA, },
journal={IEICE TRANSACTIONS on transactions},
title={Transcendental Function Representations of the Probability Density Function and the Cumulative Distribution Function for a Product-structured Stochastic Process Model},
year={1988},
volume={E71-E},
number={7},
pages={633-636},
abstract={A flexible, Product-structured stchastic process model may be represented by the modified Bessel pdf (probability density function) of the third kind and the Struve cdf (cumulative distribution function) which were formerly represented by a single integral and a double integral respectively. These transcendental functions representation may be used for a rapid and precise computation of the pdf and cdf. The explicit representation of moments by a gamma function is also given.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - Transcendental Function Representations of the Probability Density Function and the Cumulative Distribution Function for a Product-structured Stochastic Process Model
T2 - IEICE TRANSACTIONS on transactions
SP - 633
EP - 636
AU - Shiro EHARA
PY - 1988
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E71-E
IS - 7
JA - IEICE TRANSACTIONS on transactions
Y1 - July 1988
AB - A flexible, Product-structured stchastic process model may be represented by the modified Bessel pdf (probability density function) of the third kind and the Struve cdf (cumulative distribution function) which were formerly represented by a single integral and a double integral respectively. These transcendental functions representation may be used for a rapid and precise computation of the pdf and cdf. The explicit representation of moments by a gamma function is also given.
ER -
English
