Approximations to the t distribution

Bashar Zogheib; Ali Elsaheli

doi:10.12988/ams.2015.52148

Approximations to the t distribution

Mathematic and Natural Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, a few formulas are found to approximate the t cumulative distribution function. The formulas found in [5] to approximate the normal distributions are used to get good approximations for t. The derived formulas give good approximation for degrees of freedom greater than 3 and if the exact probabilities are less than 0.9.

Original language	English
Pages (from-to)	2445-2449
Number of pages	5
Journal	Applied Mathematical Sciences
Volume	9
Issue number	49-52
DOIs	https://doi.org/10.12988/ams.2015.52148 https://doi.org/10.12988/ams.2015.52148
State	Published - 2015

Keywords

Approximation
Cumulative distribution function
Formula

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title = "Approximations to the t distribution",

abstract = "In this paper, a few formulas are found to approximate the t cumulative distribution function. The formulas found in [5] to approximate the normal distributions are used to get good approximations for t. The derived formulas give good approximation for degrees of freedom greater than 3 and if the exact probabilities are less than 0.9.",

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AU - Zogheib, Bashar

AU - Elsaheli, Ali

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AB - In this paper, a few formulas are found to approximate the t cumulative distribution function. The formulas found in [5] to approximate the normal distributions are used to get good approximations for t. The derived formulas give good approximation for degrees of freedom greater than 3 and if the exact probabilities are less than 0.9.

KW - Approximation

KW - Cumulative distribution function

KW - Formula

UR - https://www.scopus.com/pages/publications/84929877321

U2 - 10.12988/ams.2015.52148

DO - 10.12988/ams.2015.52148

M3 - Article

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VL - 9

SP - 2445

EP - 2449

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

IS - 49-52

ER -

Approximations to the t distribution

Abstract

Keywords

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