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No 2
Vol. 1 No. 2
Spring-Summer 2018

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We apply a recently developed computational approach‎ ‎test (CAT) to the one-way fixed effects ANOVA models of log-normal‎ ‎data with unequal variances‎. ‎The merits of the proposed test are‎ ‎numerically compared with the existing tests‎ - ‎the James second‎ ‎order test‎, ‎the Welch test and the Alexander-Govern test‎ - ‎with‎ ‎respect to their sizes and powers in different combinations of‎ ‎parameters and various sample sizes‎. ‎The simulation results‎ ‎demonstrate that the proposed method is‎ ‎satisfactory‎: ‎its type I error probability is very close to the nominal level‎. ‎We illustrate these approaches using a real example.
Kamel Abdollahnezhad - ‎S‎. ‎ Aghadoust
DOI : 0
Keywords : Log-normal Distribution‎ ، ‎Computational Approach Test‎ ، Power ، Actual size
In this paper‎, ‎some recurrence relations are presented for the single and product moments of progressively Type-II right censored order statistics from a Pareto distribution‎. ‎These relations are obtained for a progressively censored sample from Pareto distribution with fixed and random removals‎, ‎where in the random case‎, ‎the number of units removed at each failure time follows a binomial distribution‎. ‎In addition‎, ‎Thomas-Wilson's Mixture Formula for Moments are obtained with with fixed and random removals‎. ‎Finally‎, ‎a numerical study is carried out to compare real and simulation results based on biases and MSEs of the expected termination time.
Naeimeh Dehqani - RahmatSadat Meshkat
DOI : 0
Keywords : Binomial removal ، Monte Carlo simulation ، Product moments ، Progressive Type-II right-censored order statistics ، Recurrence relations ، Single moments

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Affiliated to :Department of Statistics, Yazd University
Manager in Charge :Hamzeh Torabi
Editor in Chief :Ali Dolati
Editorial Board :
Mohammad Amini, Iran
Majid Asadi, Iran
Akbar Asqarzadeh, Iran
Félix Belzunce, Spain
Gauss Cordeiro, Brazil
Leda Minkova, Bulgaria
Aurea Grane, Spain
Aliakbar Jafari, Iran
Abdorrahman Rasekh, Iran
Hamzeh Torabi, Iran
Hojatollah Zakerzadeh, Iran
Yichuan Zhao, USA
Eisa Mahmoudi, Iran
Mojtaba Ganjali, Iran

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