Marshall-Olkin q-Weibull distribution and max-min processes

Statistical Papers

Volumn 51, Issue 4, 2010, Pages 837-851

  Jose, K K ^a   Naik, Shanoja R ^b   Ristić, Miroslav M ^c  

^a ST THOMAS COLLEGE   (India)

^b Centre for Mathematical Sciences   (India)

^c UNIVERSITY OF NI   (Serbia)

Author keywords

AR(1) process; Hazard rate function; Innovations; Marshall Olkin distributions; Survival function; Time series model; Weibull distribution

Indexed keywords

EID: 78650510313     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00362-008-0173-9     Document Type: Article

References (26)

1. Alice T, Jose KK (2002) Multivariate minification processes. STARS Int J 3: 1-9.
2. Alice T, Jose KK (2003) Marshall-Olkin pareto processes. Far East J Theor Stat 9: 117-132.
3. Alice T, Jose KK (2004) Bivariate semi-Pareto minification processes. Metrika 59: 305-313.
4. Alice T, Jose KK (2005) Marshall-Olkin semi-Weibull minification processes. Recent Adv Stat Theory Appl I: 6-17.
5. Arnold BC, Robertson CA (1989) Autoregressive logistic processes. J Appl Prob 26: 524-531.
6. Barlow RE, Proschan F (1981) Statistical theory of reliability and life testing. Holt, Rinechart and Winston Inc., New York, USA.
7. Beck C (2006) Stretched exponentials from superstatistics. Phys A 365: 96-101.
8. Beck C, Cohen ECD (2003) Superstatistics. Phys A 322: 267-275.
9. Brown BG, Katz RW, Murphy AH (1984) Time series models to simulate and forecast wind speed and wind power. J Clim Appl Meteorol 23: 1184-1195.
10. Costa UMS, Freire VN, Malacarne LC, Mendes RS, Picoli S Jr, Vasconcelos EA, da Silva EF Jr (2006) An improved description of the dielectric breakdown in oxides based on a generalized Weibull distribution. Phys A 361: 209-215.
11. Gaver DP, Lewis PAW (1980) First order autoregressive gamma sequences and point processes. Adv Appl Pro 12: 727-745.
12. Ghitany ME, Al-Hussaini EK, Al-Jarallah RA (2005) Marshall-Olkin extended Weibull distribution and its application to censored Data. J Appl Stat 32: 1025-1034.
13. Jose KK, Alice T (2001) Marshall-Olkin generalized-Weibull distributions and applications. STARS Int J 2(1): 1-8.
14. Lee ET, Wang JW (2003) Statistical methods for survival data analysis, 3rd edn. Wiley, New York.
15. Lewis PAW, McKenzie E (1991) Minification processes and their transformations. J Appl Prob 28: 45-57.
16. Marshall AW, Olkin I (1997) A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrica 84: 641-652.
17. Mathai AM (2005) A pathway to matrix-variate gamma and normal densities. Linear Algebra Appl 396: 317-328.
18. Mathai AM, Provost SB (2006) On q-logistic and related distributions. IEEE Trans Reliab 55(2): 237-244.
19. Picoli S Jr, Mendes RS, Malacarne LC (2003) q-exponential, Weibull and q-Weibull distributions: an empirical analysis. Phys A 324: 678-688.
20. Sim CH (1986) Simulation of Weibull and gamma autoregressive stationary process. Commun Stat Simul Comput B 15: 1141-1146.
21. Tavares LV (1977) The exact distribution of extremes of a non-Gaussian process. Stoch Proc Appl 5: 151-156.
22. Tavares LV (1980) An exponential Markovian stationary process. J Appl Prob 17: 1117-1120.
23. Tsallis C (1988) Possible generalizations of Boltzmann-Gibbs statistics. J Stat Phys 52: 479-487.
24. Wilk G, Wlodarczyk Z (2000) Interpretation of the non-extensivity parameter q in some applications of Tsallis statistics and Lévy distributions. Phys Rev Lett 84: 2770-2773.
25. Wilk G, Wlodarczyk Z (2001) Non-exponential decays and non-extensivity. Phys A 290: 55-58.
26. Yeh HC, Arnold BC, Robertson CA (1988) Pareto processes. J Appl Prob 25: 291-301.