Statistical inference based on the top scores

Mostata Razmkhah () and Jafar Ahmadi ()

METRON, 2012, vol. 70, issue 1, 89-107

Abstract: In this paper, three different types of data sets, namely, the sequence of top k scores vectors, just one top k scores vector and the sequence of upper k-record values are considered. Frequentist estimation based on three mentioned data sets and also the amount of Fisher information (FI) in them are discussed for a general class of lifetime model, i.e., proportional hazard rate model. It is well-known that this class includes several lifetime distributions such as exponential, Weibull (one parameter), Pareto, Burr type XII and so on. Finally, the two-parameter Weibull distribution is studied in detail. Copyright Sapienza Università di Roma 2012

Keywords: Order statistics; Record values; Proportional hazard rate model; Information inequality; Weibull distribution (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metron:v:70:y:2012:i:1:p:89-107

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DOI: 10.1007/BF03263573

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