Estimation of the Jump-Point in a Hazard Function

Verfasser / Beitragende:
[Yahia Abdel-Aty, Dietmar Ferger]
Ort, Verlag, Jahr:
2003
Enthalten in:
Economic Quality Control, 18/2(2003-10), 251-261
Format:
Artikel (online)
ID: 378847732
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024 7 0 |a 10.1515/EQC.2003.251  |2 doi 
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245 0 0 |a Estimation of the Jump-Point in a Hazard Function  |h [Elektronische Daten]  |c [Yahia Abdel-Aty, Dietmar Ferger] 
520 3 |a We consider a piecewise constant hazard function with exactly one jump point, say τ. It uniquely determines an Exponential distribution whose density features a discontinuity of the first kind at the change point τ. Assuming that τ is the unknown parameter of interest, the maximum likelihood estimator is shown to be strongly consistent for τ. Its computation is very simple, because it requires merely a finite number of comparisons. Some graphics and calculations illustrate our results. 
540 |a © Heldermann Verlag 
700 1 |a Abdel-Aty  |D Yahia  |u Department of Mathematics, Faculty of Science, Al-Azhar University, 1884 Nasr City, Cairo, Egypt  |4 aut 
700 1 |a Ferger  |D Dietmar  |u Department of Mathematics, Dresden University of Technology, Mommsenstr. 13, D-01062 Dresden, Germany  |4 aut 
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