Sharp Bounds on the Error in Approximating the Means of Record Statistics by Inverse Hazard Functions

Mohammad Z. Raqab

doi:10.1081/STA-120037258

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Sharp Bounds on the Error in Approximating the Means of Record Statistics by Inverse Hazard Functions

Journal article

Peer reviewed

Sharp Bounds on the Error in Approximating the Means of Record Statistics by Inverse Hazard Functions

Mohammad Z. Raqab

Communications in statistics. Theory and methods, Vol.33(7), pp.1527-1539

31/12/2004

DOI: https://doi.org/10.1081/STA-120037258

Abstract

Error

Greatest convex minorant approximation

Inverse hazard function

Quantiles

Record statistics

Sharp bounds

Variation diminishing property

The Moriguti's greatest convex method is applied to obtain sharp distribution-free lower and upper bounds on the error in approximating the expected values of kth record statistics via inverse hazard functions.

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Title: Sharp Bounds on the Error in Approximating the Means of Record Statistics by Inverse Hazard Functions
Creators - without role: Mohammad Z. Raqab - University of Jordan
Publication Details: Communications in statistics. Theory and methods, Vol.33(7), pp.1527-1539
Publisher: Taylor & Francis Group
Identifiers: 9940697108331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article