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  Advances and Applications in Statistics  
 ISSN: 0972-3617
 
 
 

     Advances and Applications in Statistics
    Volume 10, Issue 1, Pages 85 - 109 (October 2008)


EXACT DISTRIBUTIONS OF THE EMPIRICAL GENERALIZED SURVIVAL AND DISTRIBUTION FUNCTIONS

John J. Hsieh (U. S. A.)

Received May 13, 2008; Revised July 8, 2008

References:



[1] P. Billingsley, Convergence of Probability Measures, John Wiley & Sons, New York, 1968.

[2] S. Csörgö and L. Horvath, The rate of strong uniform consistency for the product-limit estimator, Z. Wahrsch. Verw. Geb. 62 (1983), 411-426.

[3] J. J. Hsieh, Construction of expanded infant life tables: a method based on a new mortality law, Math. Biosci. 76(2) (1985), 221-242.

[4] J. J. Hsieh, Life tables, Encyclopedia of Epidemiology, Sarah Boslaugh, ed., Sage Publications, Thousand Oaks, California 2 (2007), 595-601.

[5] P. Jagers, Branching Processes with Biological Applications, John Wiley & Sons, New York, 1975.

[6] S. Karlin and H. M. Taylor, A First Course in Stochastic Processes, Academic Press, New York, 1975.

[7] N. Keiding, Statistical inference in the Lexis diagram, Phil. Trans. Roy. Soc. London A 332 (1990), 487-509.

[8] N. J. D. Nagelkerke, Statistical inference in stationary population, Biometrics 51 (1995), 347-350.

[9] A. Robert, Nonstandard Analysis, John Wiley & Sons, New York, 1988.

[10] A. Robinson, Non Standard Analysis, North-Holland, New York, 1966.

[11] A. H. Zemanian, Distribution Theory and Transforms Analysis - An Introduction to Generalized Functions with Applications, McGraw-Hill, New York, 1965.

Keywords and phrases: residual life, failure time, distribution theory, mixed distribution, generalized function, renewal process, stationary population, life table, reliability, survival analysis.

 


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