Two-sided Tolerance Intervals in a Simple Linear Regression

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145902" target="_blank" >RIV/61989592:15310/13:33145902 - isvavai.cz</a>

Result on the web

<a href="http://mant.upol.cz/soubory/ActaMath/2013/52-2-03.pdf" target="_blank" >http://mant.upol.cz/soubory/ActaMath/2013/52-2-03.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Two-sided Tolerance Intervals in a Simple Linear Regression

Original language description

Numerical results for a simple linear regression indicate that the nonsimultaneous two-sided tolerance intervals nearly satisfy the condition of multiple-use confidence intervals, see Lee and Mathew (2002), but the numerical computation of the limits ofthe multiple-use confidence intervals is needed. We modified the Lieberman-Miller method (1963) for computing the simultaneous two-sided tolerance intervals in a simple linear regression with independent normally distributed errors. The suggested tolerance intervals are the narrowest of all the known simultaneous twosided tolerance intervals. The computation of the multiple-use confidence intervals based on the new simultaneous two-sided tolerance intervals is simple and fast.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/EE2.3.30.0041" target="_blank" >EE2.3.30.0041: POST-UP II.</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Acta Universitatis Palackianae Olomucensis, Facultas Rerum Naturalium, Mathematica

ISSN

0231-9721

e-ISSN

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Volume of the periodical

52

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

11

Pages from-to

31-41

UT code for WoS article

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EID of the result in the Scopus database

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