Journal article
Data Dependent Cells Chi‐Square Test With Recurrent Events
Scandinavian journal of statistics, Vol.42(4), pp.1045-1064
12/2015
DOI: 10.1111/sjos.12150
Abstract
We consider a recurrent event wherein the inter‐event times are independent and identically distributed with a common absolutely continuous distribution function F. In this article, interest is in the problem of testing the null hypothesis that F belongs to some parametric family where the q‐dimensional parameter is unknown. We propose a general Chi‐squared test in which cell boundaries are data dependent. An estimator of the parameter obtained by minimizing a quadratic form resulting from a properly scaled vector of differences between Observed and Expected frequencies is used to construct the test. This estimator is known as the minimum chi‐square estimator. Large sample properties of the proposed test statistic are established using empirical processes tools. A simulation study is conducted to assess the performance of the test under parameter misspecification, and our procedures are applied to a fleet of Boeing 720 jet planes' air conditioning system failures.
Details
- Title: Subtitle
- Data Dependent Cells Chi‐Square Test With Recurrent Events
- Creators
- Akim Adekpedjou - Missouri University of Science and TechnologyWITHANAGE A De Mel - Binghamton UniversityGideon KD Zamba - The University of Iowa
- Resource Type
- Journal article
- Publication Details
- Scandinavian journal of statistics, Vol.42(4), pp.1045-1064
- DOI
- 10.1111/sjos.12150
- ISSN
- 0303-6898
- eISSN
- 1467-9469
- Number of pages
- 20
- Language
- English
- Date published
- 12/2015
- Academic Unit
- Radiology; Biostatistics
- Record Identifier
- 9984214692302771
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