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Journal of the Korean Data & Information Science Society = 한국데이터정보과학회지 v.21 no.2, 2010년, pp.317 - 325   피인용횟수: 2
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Goodness-of-fit test for the half logistic distribution based on multiply Type-II censored samples

Kang, Suk-Bok    (Department of Statistics, Yeungnam University   ); Cho, Young-Seuk    (Department of Statistics, Pusan National University   ); Han, Jun-Tae    (National Health Insurance Policy Research Institute, National Health Insurance Corporation   ); SaKong, Jin    (Department of Economics, Hanyang University  );
  • 초록

    In this paper, we develop four modified empirical distribution function (EDF) type tests using approximate maximum likelihood estimators for the half-logistic distribution based on multiply Type-II censored samples. We also propose modified normalize sample Lorenz curve polt and new test statistics. We compare the above test statistics in the sense of the power for various censored samples. We present an example to illustrate this method.


  • 주제어

    Approximate maximum likelihood estimator .   goodness-of-fit test .   multiply Type-II censored sample .   normalized sample Lorenz curve.  

  • 참고문헌 (15)

    1. Balakrishnan, N. (1985). Order statistics form the half logistic distribution. Journal of Statistical Computation and Simulation, 20, 287-309. 
    2. Balakrishnan, N. and Puthenpura, S. (1986). Best linear unbiased estimators of location and scale parameters of the half logistic distribution. Journal of Statistical Computation and Simulation, 25, 193-204. 
    3. Balakrishnan, N. and Wong, K. H. T. (1991). Approximate MLEs for the location and scale parameters of the half logistic distribution with type-II right censoring. IEEE Transactions on Reliability, 40, 140-145. 
    4. Cho, Y. S., Lee, J. Y. and Kang, S. B. (1999). A study on distribution based on the transformed Lorenz curve. The Korean Journal of Applied Statistics, 12, 153-163. 
    5. D'Agostino and Stephens, M. A. (1986). Goodness-of-fit techniques, New York, Marcel Dekker. 
    6. Kang, S. B. and Cho, Y. S. (2001). A study on distribution based on the normalized sample Lorenz curve. The Korean Communications in Statistics, 8, 185-192. 
    7. Kang, S. B., Cho, Y. S. and Han, J. T. (2008). Goodness-of-fit test for the extreme value distribution based on multiply Type-II censored samples. Journal of the Korean Data & Information Science Society, 19, 1441-1448.     
    8. Kang, S. B. and Park, Y. K. (2005). Estimation for the half-logistic distribution based on multiply Type-II censored samples. Journal of the Korean Data & Information Science Society, 16, 145-156.     
    9. Kim, B. Y. (1993). A Goodness-of-fit test for exponentiality with censored samples. The Korean Journal of Applied Statistics, 6, 289-302. 
    10. Lawless, J. F. (1982). Statistical models and methods for lifetime data, New York, John Wiley & Sons. 
    11. Lin, C. T., Huang, Y. L. and Balakrishnan, N. (2008). A new method for goodness-of-fit testing based on Type-II right censored samples. IEEE Transactions on Reliability, 57, 633-642. 
    12. Stephens, M. A. (1974). EDF Statistics for goodness of fit and some comparisons. Journal of American Statistical Association, 69, 730-737. 
    13. Wilk, M. B. and Gnanadesikan, R. (1968). Probability plotting methods for the analysis of data. Biometrika, 55, 1-17. 
    14. Woodruff, B. W., Moore, A. H., Dunne, E. J. and Cortes, R. (1983). A modified Kolmogorov-Smirnov test for Weibull distributions with unknown location and scale parameters. IEEE Transactions on Reliability, 57, 633-642. 
    15. Kang, S. B. and Lee, S. K. (2006). Test for the exponential distribution based on multiply Type-II censored samples. The Korean Communications in Statistics, 13, 537-550.     
  • 이 논문을 인용한 문헌 (2)

    1. 2012. "" Journal of the Korean Data & Information Science Society = 한국데이터정보과학회지, 23(6): 1249~1257     
    2. 2014. "" Journal of the Korean Data & Information Science Society = 한국데이터정보과학회지, 25(6): 1581~1589     

 저자의 다른 논문

  • Kang, Suk-Bok (69)

    1. 1990 "파레토분포(分布)에서 두 모수(母數)의 함수(函數) 추정(推定)" Journal of statistical theory & methods = 統計理論方法硏究 1 (): 67~76    
    2. 1994 "Approximate MLE for the Scale Parameter of the Weibull Distribution with Type-II Censoring" Journal of statistical theory & methods = 統計理論方法硏究 5 (2): 19~27    
    3. 1995 "Estimation of Gini Index of the Exponential Distribution" Journal of statistical theory & methods = 統計理論方法硏究 6 (1): 97~103    
    4. 1996 "APPROXIMATIVE MLE FOR THE SCALE PARAMETER OF THE DOUBLE EXPONENTIAL DISTRIBUTION BASED ON TYPE-II CENSORED SAMPLES" Journal of the Korean Mathematical Society = 대한수학회지 33 (1): 69~79    
    5. 1996 "Estimation of Gini Index of the Exponential Distribution by Bootstrap Method" 한국통계학회 논문집 = Communications of the Korean Statistical Society 3 (3): 291~297    
    6. 1997 "Bootstrap Confidence Intervals for the Reliability Function of an Exponential Distribution" 한국통계학회 논문집 = Communications of the Korean Statistical Society 4 (2): 523~532    
    7. 1997 "Bootstrap and Delete-d Jackknife Confidence Intervals for Parameters of an Exponential Distribution" Journal of statistical theory & methods = 統計理論方法硏究 8 (1): 59~70    
    8. 1997 "Estimation for Exponential Distribution under General Progressive Type-II Censored Samples" Journal of statistical theory & methods = 統計理論方法硏究 8 (2): 239~245    
    9. 1998 "DISTRIBUTIONS AND MOMENTS FOR ESTIMATORS OF GINI INDEX IN AN EXPONENTIAL DISTRIBUTION" Korean journal of computational & applied mathematics 5 (1): 213~222    
    10. 1998 "MRE for Exponential Distribution under General Progressive Type-II Censored Samples" Journal of statistical theory & methods = 統計理論方法硏究 9 (1): 71~76    
  • Cho, Young-Seuk (25)

  • SaKong, Jin (9)

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