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  Far East Journal of Theoretical Statistics  
 ISSN: 0972-0863
 
 
 

     Far East Journal of Theoretical Statistics
    Volume 24, Issue 1, Pages 109 - 124 (January 2008)


ON BIVARIATE LOGISTIC DISTRIBUTIONS AND PROCESSES

S. D. Krishnarani (India) and K. Jayakumar (India)

Received April 2, 2007

References:



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[3] N. Balakrishna and K. Jayakumar, Bivariate autoregressive minification process, J. Appl. Statist. Sci. 5(2/3) (1996), 129-141.

[4] N. Balakrishna and K. Jayakumar, Bivariate semi Pareto distributions and processes, Statistical Papers, 38 (1997), 149-165.

[5] N. Balakrishnan, Handbook of the Logistic Distribution, Stat. Textbooks Monographs 123, 1992.

[6] K. Cooray, A. Gunasekhara and M. M. A. Ananda, The folded logistic distributions, Comm. Statist. Theory Methods 35 (2006), 385-393.

[7] E. J. Gumbel, Bivariate logistic distributions, J. Amer. Statist. Assoc. 56 (1961), 335-349.

[8] K. Jayakumar and S. D. Krishnarani, Half semi logistic distributions and processes, 2006 (communicated).

[9] K. Jayakumar and Thomas Mathew, Semi logistic distributions and processes, Stochastic Modelling and Applications 7(2) (2004).

[10] N. L. Johnson and S. Kotz, Distributions in Statistics: Continuous univariate distributions, Vol. II, Wiley, New York, 1970.

[11] P. A. W. Lewis and E. D. McKenzie, Minification processes and their transformations, J. Appl. Probab. 28 (1991), 45-57.

[12] A. W. Marshall and I. Olkin, A new method for adding a parameter to a family of distributions with application to the exponential and Weibull processes, Biometrika 84 (1997), 641-652.

[13] R. N. Pillai, K. K. Jose and K. Jayakumar, Autoregressive minification processes and the class of distributions of universal geometric minima, J. Indian Stat. Assoc. 33 (1995), 53-61.

[14] S. P. Satterthwaite and T. P. Hutchinson, A generalization of Gumbel’s bivariate logistic distribution, Metrika 25 (1978), 163-170.

[15] L. V. Tavares, An exponential Markovian stationary process, J. Appl. Probab. 17 (1980), 1117-1120.

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[17] H. C. Yeh, B. C. Arnold and C. A. Robertson, Pareto process, J. Appl. Probab. 25 (1988), 291-301.

Keywords and phrases: autoregressive processes, half semi logistic distribution, folded logistic distribution, logistic distribution, semi logistic distribution, stationary process.

 


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