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Statistical inference based on the top scores

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  • Mostata Razmkhah
  • Jafar Ahmadi

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

Suggested Citation

  • Mostata Razmkhah & Jafar Ahmadi, 2012. "Statistical inference based on the top scores," METRON, Springer;Sapienza Università di Roma, vol. 70(1), pages 89-107, April.
    • Handle: RePEc:spr:metron:v:70:y:2012:i:1:p:89-107
    DOI: 10.1007/BF03263573
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    References listed on IDEAS

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    1. K. Raghunandanan & S. A. Patil, 1972. "On order statistics for random sample size," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 26(4), pages 121-126, December.
    2. Glenn Hofmann & N. Balakrishnan, 2004. "Fisher information ink-records," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(2), pages 383-396, June.
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