Relations for Moments of Progressively Type-II Right Censored Order Statistics from Erlang-Truncated Exponential Distribution

• Autorzy: Mansoor Rashid Malik , Devendra Kumar
• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish some new recurrence relations for the single and product moments of progressively Type-II right censored order statistics from the Erlang-truncated exponential distribution. These relations generalize those established by Aggarwala and Balakrishnan (1996) for standard exponential distribution. These recurrence relations enable computation of mean, variances and covariances of all progressively Type-II right censored order statistics for all sample sizes in a simple and efficient manner. Further an algorithm is discussed which enable us to compute all the means, variances and covariances of Erlang-truncated exponential progressive Type-II right censored order statistics for all sample sizes n and all censoring schemes (R1, R2,..., Rm), m < n. By using these relations, we tabulate the means and variances of progressively Type-II right censored order statistics of the Erlang-truncated exponential distribution. (original abstract)

Słowa kluczowe

EN

Statistics; Algorithms

PL

Statystyka; Algorytmy

• Czasopismo: Statistics in Transition
• Rocznik: 2017
• Tom: 18
• Numer: nr 4
• Strony: 651--668

Twórcy

autor

Mansoor Rashid Malik

• Amity University, India

autor

Devendra Kumar

• Central University of Haryana

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Identyfikatory

DOI

10.21307/stattrans-2017-005