Previous |  Up |  Next

Article

Title: On the generalization of the STER distribution applied to generalized hypergeometric parents (English)
Author: Wimmer, Gejza
Author: Altmann, Gabriel
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 39
Issue: 1
Year: 2000
Pages: 215-247
.
Category: math
.
MSC: 33C90
MSC: 60E05
MSC: 62E10
idZBL: Zbl 1041.62009
idMR: MR1826365
.
Date available: 2009-01-29T15:57:18Z
Last updated: 2012-05-03
Stable URL: http://hdl.handle.net/10338.dmlcz/120412
.
Reference: [1] Abakuks A.: An invаriаnce property of the Poisson distributions for а limited immigrаnt popupаtion.J. of the Royal Statistical Society B 38 (1976), 99-101. MR 0426221
Reference: [2] Ancker C. J., Jr., Gafarian A. V.: Some queueing problems with bаlking аnd reneging I.Operations Research 11 (1963), 88-100. MR 0171321
Reference: [3] Bardwell G. E., Crow E. L.: A two-pаrаmeter fаmily of hyper-Poisson distributions.J. of the American Statistical Association 59 (1964), 133-141. MR 0158450
Reference: [4] Becker N. G.: The spreаd of epidemic to fixed groups within the populаtion.Biometrics 24 (1968), 1007-1014.
Reference: [5] Bissinger B. H.: A type resistаnt distribution generаted from considerаtion of аn inventory decision model.In: G. P. Patil (ed.) Classical and contagious Discrete Distributions. Calcutta: Statistical Publishing Society and Oxford: Pergamon Press, 15-17. MR 0224124
Reference: [6] Brockwell P. J., Gani J., Resnick S. I.: Birth, immigrаtion аnd cаtаstrophe processes.Advances in Applied Probability 14 (1982), 709-731. MR 0677553
Reference: [7] Cacoullos T.: Best estimаtion for multiply truncаted power series distributions.Scandinavian J. of Statistics 4 (1977), 159-164. MR 0501536
Reference: [8] Cavender J. A.: Quаsi-stаtionаry distributions of birth-аnd-deаth processes.Advances in Applied Probability 10 (1978), 570-586. MR 0501388
Reference: [9] Chung K. L., Feller W.: On fluctuаtions in coin-tossing.Proceedings of the National Academy of Sciences 35 (1949), 605-608. MR 0033459
Reference: [10] Conolly B. W.: More trаnsient results for generаlized stаte-dependent Erlаngiаn queues.Advances in Applied Probability 15 (1983), 688-690. MR 0706625
Reference: [11] Dacey M. F.: Probаbility distribution of number of networks in topologicаly rаndom network pаtterns.Water Resources Research 7, (1971), 1652-1657.
Reference: [12] Dacey M. F.: A fаmily of discrete probаbility distributions defìned by the generаlized hypergeometric series.Sankhyã B 34 (1972), 243-250. MR 0339370
Reference: [13] Dacey M. F.: Probаbility lаws of topologicаl properties of drаinаge bаsins.In: G. P.Patil, S. Kotz and J. K. Ord (eds.). Statistical Distributions in Scientifìc Work, Dodrecht, Reidel 2, 327-341.
Reference: [14] Darwin J. H.: An ecologicаl distribution аkin to Fisher’s logаrithmic distribution.Biometrics 16 (1960), 51-60.
Reference: [15] Dubey S. D.: Asymptoticаlly single observаtion best estimаtor of exponentiаl expected life.Sankhyã A 27 (1965), 133-142.
Reference: [16] Estoup J. B.: Les Gammes Sténographiques.Gаuthier-Villаrs, Pаris: Institute Sténogrаphique, 1916.
Reference: [17] Feller W.: On а generаl clаss of contаgious distributions.Annals of Mathematical Statistics 14 (1943), 389-400.
Reference: [18] Flory P. J.: Intrаmoleculаr reаction between neighbouring substituents of vinyl polymers.J. of the American Chemical Society 61 (1939), 1518-1521.
Reference: [19] Gani J.: Problems in the probаbility theory of storаge systems.J. of the Royal Statistical Society B 19 (1957), 182-206. MR 0092289
Reference: [20] Gerstenkorn T.: The compounding of the binomiаl аnd generаlized betа distributions.In: W. Grossmann, G. Ch. Pflug, W. Wertz (eds.). Probability and Statistical Inference. Dodrecht: Reidel, 1982, 87-99. MR 0668208
Reference: [21] Gipps P. G.: A queueing model for trаffic flow.J. of the Royal Statistical Society 39 (1977), 276-282. MR 0489811
Reference: [22] Gurland J.: A generаlized clаss of contаgious distributions.Biometrics 14 (1958), 229-249.
Reference: [23] Haight F. A.: On the effect of removing persons with N or more accidents from an accident prone popupation.Biometrika 52 (1965), 298-300. MR 0211742
Reference: [24] Hall P.: On the roles of the Bessel and Poisson distributions in chemical kinetics.J. of Applied Probability 20 (1983), 585-599. Zbl 0538.92027, MR 0713508
Reference: [25] Harris L. B.: On a limiting case for the distribution of exceedances, with an application to life-testing.Annals of Mathematical Statistics 23 (1952), 295-298. Zbl 0046.35808, MR 0047941
Reference: [26] van Heerden D. F. I., Gonin H. T.: The orthogonal polynomials of the factorial power series probability distributions.South African Statistical J. 1 (1967), 49-53.
Reference: [27] Hoppe F. M.: The sampling theory of neutral alleles and an urn model in population genetics.J. of Mathematical Biology 25 (1987), 123-159. Zbl 0636.92007, MR 0896430
Reference: [28] Ising E.: Beitrag zur Theorie des Ferromagnetismus.Zeischrift für Physik 31 (1925), 253-258.
Reference: [29] Johnson N. L., Kotz S., Kemp A. W.: Univariate Discrete Distributions.Wiley, New York, 1992. Zbl 0773.62007, MR 1224449
Reference: [30] Karlin S., Taylor H. M.: A Second Course in Stochastic Processes.Academic Press, New York, 1981. Zbl 0469.60001, MR 0611513
Reference: [31] Katz L., Powell J. H.: Probability distributions of random variables associated with a structure of the sample space of sociometric investigations.Annals of Mathematical Statistics 28 (1957), 442-448. Zbl 0081.36501, MR 0088086
Reference: [32] Kelly F. P.: Exact results for the Moran neutral allele model.Advance in Applied Probability 9 (1977), 197-201.
Reference: [33] Kemp A. W.: A wide class of discrete distributions and the associated differential equations.Sankhyã A 30 (1968), 401-410. Zbl 0186.53004
Reference: [34] Kemp A. W.: A limited risk cPp.Skandinavisk Aktuarietidskrift 51 (1968), 198-203.
Reference: [35] Kemp A. W., Kemp C. D.: Branching and clustering models associated with the 'Lost games distribution'.J. of Applied Probability 6 (1969), 700-703. Zbl 0185.44901, MR 0258092
Reference: [36] Kemp A. W., Kemp C. D.: A family of discrete distributions defined via their factorial moments.Communications in Statistics 3 (1974), 1187-1196. MR 0362620
Reference: [37] Kemp A. W., Kemp C. D.: Models for Gaussian hypergeometric distribution.In: G. P. Patil, S. Kotz, J. K. Ord (eds.). Statistical Distributions in Scientific Work. Dodrecht: Reidel 1 (1975), 31-40.
Reference: [38] Kemp C. D., Kemp A. W.: Some distributions arising from an inventory decision problem.Bulletin of the International Statistical Institute 43 (1969), 367-369.
Reference: [39] Kleinrock L.: Queueing Systems.Volume I: Theory. Wiley, New York, 1975. Zbl 0334.60045
Reference: [40] Krishnaji N.: A characteristic property of the Yule distribution.Sankhyã A 32 (1970), 343-346. Zbl 0226.60023
Reference: [41] Kupper J.: Wahrscheinlichkeitstheoretische Modelle in der Schadenversicherung. Teil I: Die Schadenzahl.Blätter der Deutschen Gesellschaft für Versicherungsmathematik 5 (1960-62), 451-503.
Reference: [42] Martin-Löf P.: The notion of redundancy and its use as a quantitative measure of discrepancy between a statistical hypothesis and observational data.Scandinavian J. of Statistics 1 (1974), 3-18. MR 0375578
Reference: [43] Martin-Löf P.: Reply to Sverdrup’s polemical article Tests without power.Scandinavian J. of Statistics 2 (1975), 161-165. Zbl 0366.62028, MR 0386109
Reference: [44] Miller A. J.: A queueing model for road traffic flow.J. of the Royal Statistical Society B 23 (1961), 64-75. Zbl 0124.11905, MR 0128554
Reference: [45] Moore P. G.: A note on truncated Poisson distribution.Biometrics 10 (1954), 402-406. MR 0065876
Reference: [46] Moran P. A. P.: A probability theory of dams and storage systems: modifications of the release rule.Australian J. of Applied Science 6 (1955), 117-130. MR 0077807
Reference: [47] Moran P. A. P.: The Engset distribution in telephone congestion.Australian J. of Applied Science 12 (1961), 257-264. MR 0130720
Reference: [48] Ord J. K.: Families of Frequency Distributions.Griffin, London, 1972. Zbl 0249.62005, MR 0324810
Reference: [49] Patil G. P.: Estimation by two-moment method for generalized power series distribution and certain applications.Sanknyã B 24 (1962), 201-214. MR 0189174
Reference: [50] Patil G. P. (ed.): Classical and contagious Discrete Distributions.Calcutta: Statistical Publishing Society and Oxford: Pergamon Press, 1965. Zbl 0192.26205, MR 0211504
Reference: [51] Patil G. P., Joshi S. W.: A Dictionary and Bibliography of Discrete Distributions.Oliver & Boyd, Edinburgh, 1968. MR 0282770
Reference: [52] Patil G. P., Boswell M. T., Joshi S. W., Ratnaparkhi M. V.: Dictionary and Clasified Bibliography of Statistical Distributions in Scientific Work.International Co-operative House, Fairland, Maryland, 1984.
Reference: [53] Prasad A.: A new discrete distribution.Sankhyã 17 (1957), 353-354. Zbl 0086.12302
Reference: [54] Price B.: A note on estimation in Bernoulli trials with dependence.Communications in Statistics-Theory and Methods A 45 (1976), 661-671. Zbl 0333.62027
Reference: [55] Quinkert W.: Die kollektive Risikotheorie unter Berücksichtigung schwankender Grundwahrscheinlichkeiten mit endlichem Schwankungsbereich.Diss., Karlsruhe, 1957. MR 0091214
Reference: [56] Sachkov V. N.: Distribution of the number of fixed points of elements of a symmetric semigroup under the condition ah+l = ah and the number of trees of height not exceeding h.Theory of Probability and its Applications 16 (1971), 661-673.
Reference: [57] Samaniego F. J.: A characterization of convoluted Poisson distributions with applications to estimation.J. of the American Statistical Association 71 (1976), 475-479. Zbl 0359.62012, MR 0403009
Reference: [58] Schelling H. v.: A second formula for the partial sum of hypergeometric series having unity as a fourth argument.The Annals of Mathematical Statistics 21 (1950), 458-460. MR 0039853
Reference: [59] Schwarz G., Tversky A.: On the reciprocity of proximity relations.J. of Mathematical Psychology 22 (1980), 157-175. Zbl 0455.62088, MR 0609119
Reference: [60] Seber G. A. F.: The Estimation of Animal Abundance and Related Parameters.Griffin, London, 1973. Zbl 0272.92017
Reference: [61] Selvin S.: Maximum likelihood estimation in the truncated, single parameter discrete exponential family.The Annals of Statistics 25 (1971), 41-42.
Reference: [62] Shahani A. K., Crease D. M.: Towards models of screening for early detection of disease.Advances in Applied Probability 9 (1977), 665-680. Zbl 0383.92008, MR 0496826
Reference: [63] Shreve R. L.: Statistical law of stream numbers.J. of Geology 74 (1966), 17-37.
Reference: [64] Shreve R. L.: Infinite topologically random channel networks.J. of Geology 75 (1967), 178-186.
Reference: [65] Sibuya M.: Generalized hypergeometric, digamma and trigamma distributions.Annals of the Institute of Statistical Mathematics 31 (1979), 373-390. Zbl 0448.62008, MR 0574816
Reference: [66] Sibuya M.: A comparison of discrete distributions.In: Matusita, K. (ed.). Recent Development in Statistical Inference and Data Analysis, Amsterdam, North Holland, 1980, 255-258. Zbl 0463.62019, MR 0591492
Reference: [67] Simon H. A.: On a class of skew distribution functions.Biometrika 42 (1955), 425-440. Zbl 0066.11201, MR 0073085
Reference: [68] Simon H. A.: Models of man. Mathematical essays on rational human behavior in a social setting.Wiley, New York, 1957. MR 0113732
Reference: [69] Stevens W. L.: Significance of groupings.Annals of Eugenics 8 (1937), 57-69.
Reference: [70] Sverdrup E.: Tests without power.Scandinavian J. of Statistics 2 (1975), 158-160. Zbl 0317.62012, MR 0386108
Reference: [71] Tripathi R. C., Gupta R. C.: A comparison between the ordinary and the length-biased modified power series distributions with applications.Communications in Statistics-Theory and Methods A 16 (1987), 1195-1206. Zbl 0653.62014, MR 0892612
Reference: [72] Tripathi R. C., Gupta R. C., White T. J.: Some generalizations of the geometric distribution.Sankhyã B 49 (1987), 218-223. MR 1056035
Reference: [73] Tripathi R. C., Gurland J.: A general family of discrete distributions with hypergeometric probabilities.J. of the Royal Statistical Society B 39 (1977), 349-356. Zbl 0377.62028
Reference: [74] Tripathi R. C., Gurland J.: Some aspects of the Kemp families of distributions.Communications in Statistics-Theory and Methods A 8 (1979), 855-869. Zbl 0418.62016, MR 0535503
Reference: [75] Wenocur R. S.: Waiting times and return periods to exceed the maximum of a previous sample.In: Ch. Taillie, G. P. Patil, B. A. Baldessari (eds.). Statistical Distributions in Scientific Work, Dodrecht: Reidel 6 (1981), 411-418. Zbl 0468.60015, MR 0656379
Reference: [76] Willmot G. E.: Mixed compound distributions.ASTIN Bulletin 16 (1986), S59-S79.
Reference: [77] Wiorkowski J. J.: A curious aspect of knockout tournaments of size 2m.The American Statistician 26 (1972), 28-30.
Reference: [78] Xekalaki E.: Linear regression and the Yule distribution.J. of Econometrics 24 (1984), 397-403. Zbl 0559.62009, MR 0742548
Reference: [79] Zörnig P., Altmann G.: Unified representation of Zipf distributions.Computational Statistics & Data Analysis 19 (1995), 461-473. MR 1333065
.

Files

Files Size Format View
ActaOlom_39-2000-1_17.pdf 5.723Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo