- Arnold , B.C. and Nagaraja , H.N. 1991 . On some properties of bivariate weighted distributions . Communications in Statistics , 20 : 1853 – 1860 .
- Bosweli , M.T. and patil , G.P. 1971 . “ Chance mechanisms generating the logarithmic series distribution used in the analysis of number of species and used individuals ” . In Statistical Ecology 1: Spatial Patterns and Statistical Distributions , Edited by: Patil , G.P. , Pielou , E.G. and Waters , W.E. 99 – 130 . Pennsylvania State University Press .
- Fisher , R.A. , Corbet , A.S. and Williams , C.B. 1943 . The relation between the number of species and the number of individuals in a random sample of an animal population . Journal of Animal Ecology , 12 : 42 – 58 .
- Gupta , R.C. 1975 . Some characterizations of discrete distributions . Communications in statistics , A5 ( l ) : 45 – 48 .
- Gupta , R.C. 1976 . Some characterizations of distributions by properties of their forward and backward recurrence times in a renewal process . Scandinavian Journal of Statistics , 3 ( l ) : 215 – 216 .
- Gupta , R.C. 1979 . Waiting time paradox and size-biased sampling . Communications in Statistics , A8 ( l ) : 601 – 607 .
- Gupta , R.C. 1984 . Some characterizations of renewal densities with emphasis in reliability . Mathematische Operations-forschung und Statistics , 15 ( l ) : 571 – 579 .
- Gupta , R.C. and Keating , J.P. 1986 . Relations for reliability measures under length biased sampling . Scand. J. Statist , 13 ( l ) : 49 – 56 .
- Gupta , R.C. and Kirmani , S.N.U.A. 1990 . The role of weighted distributions in Stochastic modeling . Communications in Statistics , 19 ( 9 ) : 3147 – 3162 .
- Jain , K. and Nanda , A.K. 1995 . On multivariate weighted distributions . Communications in Statistics , 24 ( 10 ) : 2517 – 2539 .
- Kemp , A.W. 1995 . Computer sampling from homogeneous bivariate discrete distributions . ASA Proceedings of the Statistical Computing Section , 24 ( 10 ) : 173 – 175 .
- Kemp , A.W. 1981b . “ Frugal methods of generating bivariate discrete random variables ” . In Statistical Distributions in Scientific Works Edited by: Taillie , C. , Patil , G.P. and Baidessari , B. Vol. 4 , 321 – 329 . Dordrecht, Holland D. Reidei
- Kemp , C.D. and Loukas , S. 1981 . “ Fast method for generating bivariate discrete random variables ” . In Statistical Distributions in Scientific Works Edited by: Taillie , C. , Patil , G.P. and Baidessari , B. Vol. 4 , 313 – 319 . Dordrecht, Holland D. Reidei
- Kemp , C.D. and Loukas , S. 1986 . The computer generation of bivariate binomial and negative binomial random variables . Communications in Statistics-Simulation , 15 : 15 – 25 .
- Kemp , C.D. and Loukas , S. 1978 . Computer generation of bivariate random variables using ordered probabilities . ASA Proceedings of Statistical Computing , 15 : 115 – 116 .
- Kocherlakota , S. 1995 . Discrete bivariate weighted distributions under multiplicative weight function . Communications in Statistics , 24 ( 2 ) : 533 – 551 .
- Kocherlakota , S. and Kocherlakota , K. 1992 . Discrete bivariate Distributions , Marcel Dekker .
- Kocherlakota , S. and Kocherlakota , K. 1990 . The bivariate logarithmic series distribution . Communications in Statistics , 19 ( 9 ) : 3387 – 3432 .
- Mahfoud , M. and Patil , G.P. 1982 . “ On weighted distributions ” . In Statistics and Probability: Essays in honor of C.R. Rao Edited by: Kallianpur , G. 479 – 492 . Amesterdam, North Holland
- Ong , S.H. 1992 . The computer generation of bivariate binomial variables with given marginals and correlation . Communications in Statistics-Simulation , 21 : 285 – 299 .
- Patil , G.P. and Bildikar , S. 1967 . Multivariate logarithmic series distribution as a probability model in population and community ecology and some of its properties . Journal of the American Statistical Association , 62 : 655 – 674 .
- Patil , G.P. , Rao , C.R. and Ratnaparakhi , M.V. 1985 . “ Bivariate weighted distributions and related applications ” . In Invited paper presented at the International Conference on Multivariate Analysis and Applications , Calcutta : Indian Statistical Institute .
- Patil , G.P. , Rao , C.R. and Ratnaparakhi , M.V. 1986 . On discrete weighted distributions and their use in model choice for observed data . Communications in Statistics , A15 ( 3 ) : 907 – 918 .
- Patil , G.P. and Rao , C.R. 1977 . “ Weighted distributions: A survey of their applications ” . In Applications of Statistics , Edited by: Krishnaiah , P.R. 383 – 405 . North Holland Publishing Co .
- Patil , G.P. 1978 . Weighted distributions and size-biased sampling with applications to wildlife populations and human families . Biometrics , 34 : 179 – 189 .
- Patil , G.P. and Ord , J.K. 1976 . On size-biased sampling and related form invariant weighted distributions . Sankhya , 38B : 48 – 61 .
- Rao , C.R. 1977 . A natural example of a weighted binomial distribution . American Statistician , 31 : 24 – 26 .
- Rao , C.R. 1965 . “ On discrete distributions arising out of methods of ascertainments ” . In Classical and Contagious Discrete Distributions , Edited by: Patil , G.P. 320 – 332 . Calcutta : Permagon Press and Statistical Publishing Society .
- Rao , C.R. 1985 . “ Weighted distributions arising out of methods of ascertainment: what population does a sample represent? ” . In A celebration of Statistics, The ISI Centenary Volume , Edited by: Atkinson , A.C. and Fienberg , S.E. 543 – 569 . Springer Verlag .
- Rao , C.R. 1966 . A test for "intrinsic correlation" in the theory of accident process . J. Royal Statist. Soc. B , 28 : 180 – 189 .
- Williams , C.B. 1964 . Patterns in the Balance of Nature , London : Academic Press .
- Zelen , M. and Feinleib , M. 1969 . On the theory of screening for chronic diseases . Biometrika , 56 : 601 – 613 .
- Zelen , M. 1974 . “ Problems in cell kinetics and early detection of disease ” . In Reliability and biometry , 701 Philadelphia : SIAM .
Weighted bivariate logarithmic series distributions
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.