On the existence and uniqueness of the maximum likelihood estimators of normal and lognormal population parameters with grouped data

Journal of Probability and Statistics

Volumn , Issue , 2009, Pages

  Xia, Jin ^a   Mi, Jie ^b   Zhou, Yanyan ^c  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b FLORIDA INTERNATIONAL UNIVERSITY   (United States)

^c CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84859182719     PISSN: 1687952X     EISSN: 16879538     Source Type: Journal    
DOI: 10.1155/2009/310575     Document Type: Article

References (10)

1. Tai P., Yu E., Shiels R., Tonita J., Long-term survival rates of laryngeal cancer patients treated by radiation and surgery, radiation alone, and surgery alone: studied by lognormal and Kaplan-Meier survival methods BMC Cancer 2005 5, article 13
2. Mould R. F., Lederman M., Tai P., Wong J. K. M., Methodology to predict long-term cancer survival from short-term data using Tobacco Cancer Risk and Absolute Cancer Cure models Physics in Medicine and Biology 2002 47 22 3893 3924 (Pubitemid 35390280)
3. Ratnaparkhi M. V., Park W. J., Lognormal distribution: model for fatigue life and residual strength of composite materials IEEE Transactions on Reliability 1986 35 312 315
4. Kelly D. L., Use of constrained lognormal distribution in reliability analysis Reliability Engineering System Safety 1993 40 1 43 47 (Pubitemid 23609488)
5. Kleiber C., Kotz S., Statistical Size Distributions in Economics and Actuarial Sciences 2003 Hoboken, NJ, USA Wiley-Interscience xii+332 Wiley Series in Probability and Statistics
6. Mosimann J. E., Campbell G., Applications in biology of the lognormal distribution: simple growth models Lognormal Distribution: Theory and Applications 1988 287 302
7. Mkelinen T., Schmidt K., Styan G. P. H., On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples The Annals of Statistics 1981 9 4 758 767
8. Feller W., An Introduction to Probability Theory and Its Applications: Volume 2 1957 New York, NY, USA John Wiley Sons
9. Balakrishnan N., Mi J., Existence and uniqueness of the MLEs for normal distribution based on general progressively type-II censored samples Statistics Probability Letters 2003 64 4 407 414 (Pubitemid 37109823)
10. USEPA, Statistical Methods for Evaluating the Attainment of Cleanup Standards. Vol. 3 1994