메뉴 건너뛰기




Volumn 41, Issue 2, 2007, Pages 153-179

Multitude of beta distributions with applications

Author keywords

Applications; Beta distribution

Indexed keywords


EID: 33947411286     PISSN: 02331888     EISSN: 10294910     Source Type: Journal    
DOI: 10.1080/02331880701223522     Document Type: Article
Times cited : (16)

References (86)
  • 3
    • 0037092732 scopus 로고    scopus 로고
    • On fractional uniform order statistics
    • Jones, M.C., 2002a, On fractional uniform order statistics. Statistics and Probability Letters, 58, 93-96.
    • (2002) Statistics and Probability Letters , vol.58 , pp. 93-96
    • Jones, M.C.1
  • 4
    • 0033001656 scopus 로고    scopus 로고
    • Calculating nonparametric confidence intervals for quantiles using fractional order statistics
    • Huston, A.D., 1999, Calculating nonparametric confidence intervals for quantiles using fractional order statistics. Journal of Applied Statistics, 26, 343-353.
    • (1999) Journal of Applied Statistics , vol.26 , pp. 343-353
    • Huston, A.D.1
  • 8
    • 0001568080 scopus 로고
    • On the number of positive sums of independent random variables
    • Erdös, P. and Kac, M., 1947, On the number of positive sums of independent random variables. Bulletin of the American Mathematical Society, 53, 1011-1020.
    • (1947) Bulletin of the American Mathematical Society , vol.53 , pp. 1011-1020
    • Erdös, P.1    Kac, M.2
  • 11
    • 33947401849 scopus 로고    scopus 로고
    • Runyan, M.R., Pearson, C.L., Wang, C.C., Hand, R., Plunkett, S., Kaplan, C. and Gentry, J.W., 1988, The use of the log Beta distribution to characterize atmospheric aerosols. In: Lecture Notes in Physics, 309 (Berlin: Springer Verlag), pp. 65-68.
    • Runyan, M.R., Pearson, C.L., Wang, C.C., Hand, R., Plunkett, S., Kaplan, C. and Gentry, J.W., 1988, The use of the log Beta distribution to characterize atmospheric aerosols. In: Lecture Notes in Physics, Vol. 309 (Berlin: Springer Verlag), pp. 65-68.
  • 13
    • 0035023317 scopus 로고    scopus 로고
    • Estimating the frequency of high microbial counts in commercial food products using various distribution functions
    • Corradini, M.G., Normand, M.D., Nussinovitch, A., Horowitz, J. and Peleg, M., 2001, Estimating the frequency of high microbial counts in commercial food products using various distribution functions. Journal of Food Protection, 64, 674-681.
    • (2001) Journal of Food Protection , vol.64 , pp. 674-681
    • Corradini, M.G.1    Normand, M.D.2    Nussinovitch, A.3    Horowitz, J.4    Peleg, M.5
  • 14
    • 0026152945 scopus 로고
    • A 'log-beta' vs. the log-normal distribution for particle populations with a wide finite size range
    • Barrett, A.M., Normand, M.D. and Peleg, M., 1991, A 'log-beta' vs. the log-normal distribution for particle populations with a wide finite size range. Power Technology, 66, 195-199.
    • (1991) Power Technology , vol.66 , pp. 195-199
    • Barrett, A.M.1    Normand, M.D.2    Peleg, M.3
  • 15
    • 0038230746 scopus 로고
    • The power function of the analysis of variance test with tables and illustrations of their use
    • Tang, P.C., 1938. The power function of the analysis of variance test with tables and illustrations of their use. Statistical Research Memoirs, 2, 126-149.
    • (1938) Statistical Research Memoirs , vol.2 , pp. 126-149
    • Tang, P.C.1
  • 16
    • 0041049704 scopus 로고
    • A computing formula for the power of the analysis of variance test
    • Nicholson, W.L., 1954, A computing formula for the power of the analysis of variance test. Annals of Mathematical Statistics, 25, 607-610.
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 607-610
    • Nicholson, W.L.1
  • 17
    • 21844516690 scopus 로고
    • A note on the noncentral beta distribution function
    • Chattamvelli, R., 1955a, A note on the noncentral beta distribution function. The American Statistician, 49, 231-234.
    • (1955) The American Statistician , vol.49 , pp. 231-234
    • Chattamvelli, R.1
  • 19
  • 20
    • 33947404350 scopus 로고
    • The non-central chi-squared and beta distributions
    • Seber, G.A.F., 1963, The non-central chi-squared and beta distributions. Biometrika, 50, 542-544.
    • (1963) Biometrika , vol.50 , pp. 542-544
    • Seber, G.A.F.1
  • 21
    • 0011632577 scopus 로고
    • On the computation of the noncentral beta distribution
    • Ding, C.G., 1994, On the computation of the noncentral beta distribution. Computational Statistics and Data Analysis, 18, 449-455.
    • (1994) Computational Statistics and Data Analysis , vol.18 , pp. 449-455
    • Ding, C.G.1
  • 23
    • 0039415646 scopus 로고    scopus 로고
    • On moments of beta mixtures, the noncentral beta distribution, and the coefficient of determination
    • Marchand, E., 1997, On moments of beta mixtures, the noncentral beta distribution, and the coefficient of determination. Journal of Statistical Computation and Simulation, 59, 161-178.
    • (1997) Journal of Statistical Computation and Simulation , vol.59 , pp. 161-178
    • Marchand, E.1
  • 24
    • 33750291875 scopus 로고
    • Two approximations for the distribution of double non-central beta
    • Das Gupta, P., 1968, Two approximations for the distribution of double non-central beta. Sankhyä, B, 30, 83-88.
    • (1968) Sankhyä, B , vol.30 , pp. 83-88
    • Das Gupta, P.1
  • 25
    • 78651023100 scopus 로고
    • 2 and F-distribution and their applications
    • 2 and F-distribution and their applications. Biometrika, 26, 202-232.
    • (1949) Biometrika , vol.26 , pp. 202-232
    • Patnaik, P.B.1
  • 27
    • 0012754311 scopus 로고
    • Variations of the non-central t and beta distributions
    • Park, J.H., 1964, Variations of the non-central t and beta distributions. Annals of Mathematical Statistics, 35, 1583-1593.
    • (1964) Annals of Mathematical Statistics , vol.35 , pp. 1583-1593
    • Park, J.H.1
  • 28
    • 33947377858 scopus 로고
    • The extraction of waveform information by a delay line filter technique
    • Park, J.H. and Glaser, E.M., 1957. The extraction of waveform information by a delay line filter technique. IRE Wescon Convention Record, 1-2, 171-184.
    • (1957) IRE Wescon Convention Record , vol.1-2 , pp. 171-184
    • Park, J.H.1    Glaser, E.M.2
  • 32
    • 0000650294 scopus 로고
    • Some generalized functions for the size distribution of income
    • McDonald, J.B., 1984, Some generalized functions for the size distribution of income. Econometrica, 52, 647-664.
    • (1984) Econometrica , vol.52 , pp. 647-664
    • McDonald, J.B.1
  • 34
    • 84990518249 scopus 로고
    • On a family of distributions with argument between 0 and 1 obtained by transformation of the gamma and derived compound distributions
    • Grassia, A., 1977. On a family of distributions with argument between 0 and 1 obtained by transformation of the gamma and derived compound distributions. Australian Journal of Statistics, 19, 108-114.
    • (1977) Australian Journal of Statistics , vol.19 , pp. 108-114
    • Grassia, A.1
  • 35
    • 0001026507 scopus 로고
    • Multivariate generalized beta-distributions with applications to utility assessment
    • Libby, D.L. and Novick, M.R., 1982, Multivariate generalized beta-distributions with applications to utility assessment. Journal of Educational Statistics, 7, 271-294.
    • (1982) Journal of Educational Statistics , vol.7 , pp. 271-294
    • Libby, D.L.1    Novick, M.R.2
  • 36
    • 23344439518 scopus 로고
    • Bayesian analysis for binomial models with generalized beta prior distributions
    • Chen, J.C. and Novick, M.R., 1984, Bayesian analysis for binomial models with generalized beta prior distributions. Journal of Educational Statistics, 9, 163-175.
    • (1984) Journal of Educational Statistics , vol.9 , pp. 163-175
    • Chen, J.C.1    Novick, M.R.2
  • 37
    • 33947433189 scopus 로고    scopus 로고
    • Gelfand, A., 1987, Estimation of a restricted variance ratio. In: Proceedings of the 2nd International Tampere Conference in Statistics (Tampere, Finland), (T. Pukkila and S. Puntanen) (Eds) pp. 457-466.
    • Gelfand, A., 1987, Estimation of a restricted variance ratio. In: Proceedings of the 2nd International Tampere Conference in Statistics (Tampere, Finland), (T. Pukkila and S. Puntanen) (Eds) pp. 457-466.
  • 39
    • 43149089991 scopus 로고
    • A generalization of the beta distribution with applications
    • McDonald, J.B. and Xu, Y.J., 1995, A generalization of the beta distribution with applications. Journal of Econometrics, 66, 133-152.
    • (1995) Journal of Econometrics , vol.66 , pp. 133-152
    • McDonald, J.B.1    Xu, Y.J.2
  • 40
    • 0000357563 scopus 로고
    • A generalization of the beta-distribution
    • Mauldon, J.G., 1959, A generalization of the beta-distribution. Annals of Mathematical Statistics, 30, 509-520.
    • (1959) Annals of Mathematical Statistics , vol.30 , pp. 509-520
    • Mauldon, J.G.1
  • 41
    • 33947389621 scopus 로고
    • Some generalizations of the beta distribution. Private Communication
    • Volodin, N., 1994, Some generalizations of the beta distribution. Private Communication.
    • (1994)
    • Volodin, N.1
  • 42
    • 0000110361 scopus 로고
    • Prior assessments for prediction in queues
    • Armero, C. and Bayarri, M.J., 1994, Prior assessments for prediction in queues. The Statistician, 43, 139-153.
    • (1994) The Statistician , vol.43 , pp. 139-153
    • Armero, C.1    Bayarri, M.J.2
  • 43
    • 0010088895 scopus 로고
    • Computationally convenient distributional assumptions for common-value auctions
    • Gordy, M.B., 1988a, Computationally convenient distributional assumptions for common-value auctions. Computational Economics, 12, 61-78.
    • (1988) Computational Economics , vol.12 , pp. 61-78
    • Gordy, M.B.1
  • 44
    • 12844270632 scopus 로고
    • A generalization of generalized beta distributions
    • Paper No. 1998-18, The Federal Reserve Board
    • Gordy, M.B., 1988b, A generalization of generalized beta distributions. Paper No. 1998-18, Finance and Economics Discussion Series. The Federal Reserve Board.
    • (1988) Finance and Economics Discussion Series
    • Gordy, M.B.1
  • 47
    • 33947368199 scopus 로고    scopus 로고
    • Gerstenkorn, T., 1982, The compounding of the binomial and generalized beta distributions. In Probability and Statistical Inference (W. Grossmann et al.) (Eds) (The Netherlands: D. Reidel Publishing Company), pp. 87-99.
    • Gerstenkorn, T., 1982, The compounding of the binomial and generalized beta distributions. In Probability and Statistical Inference (W. Grossmann et al.) (Eds) (The Netherlands: D. Reidel Publishing Company), pp. 87-99.
  • 48
    • 0034215929 scopus 로고    scopus 로고
    • Replicated difference and preference tests: How to account for inter-trial variation
    • Bi, J., Templeton-Janik, L., Ennis, J.M. and Ennis, D.M., 2000, Replicated difference and preference tests: how to account for inter-trial variation. Food Quality and Preference, 11, 269-273.
    • (2000) Food Quality and Preference , vol.11 , pp. 269-273
    • Bi, J.1    Templeton-Janik, L.2    Ennis, J.M.3    Ennis, D.M.4
  • 49
    • 0034508794 scopus 로고    scopus 로고
    • A measure for spatial heterogeneity of a grassland vegetation based on the beta-binomial distribution
    • Shiyomi, M., Takahashi, S. and Yoshimura, J., 2000, A measure for spatial heterogeneity of a grassland vegetation based on the beta-binomial distribution. Journal of Vegetation Science, 11, 627-632.
    • (2000) Journal of Vegetation Science , vol.11 , pp. 627-632
    • Shiyomi, M.1    Takahashi, S.2    Yoshimura, J.3
  • 50
  • 51
    • 0033968471 scopus 로고    scopus 로고
    • Analysis of the association between the incidence of two spatially aggregated foliar diseases of strawberry
    • Turechek, W.W. and Madden, L.V., 2000, Analysis of the association between the incidence of two spatially aggregated foliar diseases of strawberry. Phytopathology, 90, 157-170.
    • (2000) Phytopathology , vol.90 , pp. 157-170
    • Turechek, W.W.1    Madden, L.V.2
  • 52
    • 0035106735 scopus 로고    scopus 로고
    • Bayesian semiparametric analysis of developmental toxicology data
    • Dominici, F. and Parmigiani, G., 2001, Bayesian semiparametric analysis of developmental toxicology data. Biometrics, 57, 150-157.
    • (2001) Biometrics , vol.57 , pp. 150-157
    • Dominici, F.1    Parmigiani, G.2
  • 53
    • 0034927582 scopus 로고    scopus 로고
    • Foci of stagonospora nodorum blotch in winter wheat before canopy development
    • Shah, D.A., Bergstrom, G.C. and Ueng, P.P., 2001, Foci of stagonospora nodorum blotch in winter wheat before canopy development. Phytopathology, 91, 642-647.
    • (2001) Phytopathology , vol.91 , pp. 642-647
    • Shah, D.A.1    Bergstrom, G.C.2    Ueng, P.P.3
  • 54
    • 0035088787 scopus 로고    scopus 로고
    • Sequential sampling for incidence of Phomopsis leaf blight of strawberry
    • Turechek, W.W., Ellis, M.A. and Madden, L.V., 2001, Sequential sampling for incidence of Phomopsis leaf blight of strawberry. Phytopathology, 91, 336-347.
    • (2001) Phytopathology , vol.91 , pp. 336-347
    • Turechek, W.W.1    Ellis, M.A.2    Madden, L.V.3
  • 55
    • 0036121782 scopus 로고    scopus 로고
    • Some methods for eliciting expert knowledge of plant disease epidemics and their application in cluster sampling for disease incidence
    • Hughes, G. and Madden, L.V., 2002, Some methods for eliciting expert knowledge of plant disease epidemics and their application in cluster sampling for disease incidence. Crop Protection, 21, 203-215.
    • (2002) Crop Protection , vol.21 , pp. 203-215
    • Hughes, G.1    Madden, L.V.2
  • 56
    • 0036237406 scopus 로고    scopus 로고
    • A rainfall-based model for predicting the regional incidence of wheat seed infection by Stagonospora nodorum in New York
    • Shah, D.A. and Bergstrom, G.C., 2002, A rainfall-based model for predicting the regional incidence of wheat seed infection by Stagonospora nodorum in New York. Phytopathology, 92, 511-518.
    • (2002) Phytopathology , vol.92 , pp. 511-518
    • Shah, D.A.1    Bergstrom, G.C.2
  • 60
    • 11344252331 scopus 로고
    • A modified beta binomial model with applications to multiple choice and taste tests
    • Morrison, D.G. and Brockway, G., 1979, A modified beta binomial model with applications to multiple choice and taste tests. Psychometrika, 44, 427-442.
    • (1979) Psychometrika , vol.44 , pp. 427-442
    • Morrison, D.G.1    Brockway, G.2
  • 61
    • 33744859269 scopus 로고    scopus 로고
    • The q-beta-geometric distribution as a model for fecundability
    • Kemp, A.W., 2001, The q-beta-geometric distribution as a model for fecundability. Communications in Statistics-Theory and Methods, 30, 2373-2384.
    • (2001) Communications in Statistics-Theory and Methods , vol.30 , pp. 2373-2384
    • Kemp, A.W.1
  • 64
    • 0001083779 scopus 로고    scopus 로고
    • The triangular distribution as aproxy for the beta distribution in risk analysis
    • Johnson, D., 1997, The triangular distribution as aproxy for the beta distribution in risk analysis. The Statistician, 46, 387-398.
    • (1997) The Statistician , vol.46 , pp. 387-398
    • Johnson, D.1
  • 65
    • 0026837875 scopus 로고
    • Practical use of distribution in network analysis
    • Williams, T.M., 1992, Practical use of distribution in network analysis. Journal of Operations Research Society, 43, 265-270.
    • (1992) Journal of Operations Research Society , vol.43 , pp. 265-270
    • Williams, T.M.1
  • 66
    • 0038892154 scopus 로고    scopus 로고
    • A novel extension of the triangular distribution and its parameter estimation
    • Van Dorp, J.R. and Kotz, S., 2002a, A novel extension of the triangular distribution and its parameter estimation. The Statistician, 51, 1-17.
    • (2002) The Statistician , vol.51 , pp. 1-17
    • Van Dorp, J.R.1    Kotz, S.2
  • 67
    • 0035995684 scopus 로고    scopus 로고
    • The standard two-sided power distribution and its properties: With applications in financial engineering
    • Van Dorp, J.R. and Kotz, S., 2002b, The standard two-sided power distribution and its properties: with applications in financial engineering. The American Statistician, 56, 90-99.
    • (2002) The American Statistician , vol.56 , pp. 90-99
    • Van Dorp, J.R.1    Kotz, S.2
  • 68
    • 0035995684 scopus 로고    scopus 로고
    • Nadarajah, S., 2002, Van Dorp, J.R. and Kotz, S., 2002, Comment: The standard two-sided power distribution and its properties: With applications in financial engineering. The American Statistician, 56, 90-99.
    • Nadarajah, S., 2002, Van Dorp, J.R. and Kotz, S., 2002, Comment: The standard two-sided power distribution and its properties: With applications in financial engineering. The American Statistician, 56, 90-99.
  • 69
    • 85047053937 scopus 로고    scopus 로고
    • Correspondence
    • Nadarajah, S., 2003, Correspondence. The Statistician, 52, 227-229.
    • (2003) The Statistician , vol.52 , pp. 227-229
    • Nadarajah, S.1
  • 73
  • 74
    • 11444270195 scopus 로고
    • Characterizing properties of statistical distribution
    • Mauldon, J.G., 1956, Characterizing properties of statistical distribution. Quarterly Journal of Mathematics, 7, 155-160.
    • (1956) Quarterly Journal of Mathematics , vol.7 , pp. 155-160
    • Mauldon, J.G.1
  • 75
    • 16344363111 scopus 로고
    • On characterizing the gamma and the normal distribution
    • Kotlarski, I., 1967, On characterizing the gamma and the normal distribution. Pacific Journal of Mathematics, 20, 69-76.
    • (1967) Pacific Journal of Mathematics , vol.20 , pp. 69-76
    • Kotlarski, I.1
  • 76
    • 0642273484 scopus 로고
    • On characterizations of beta and gamma distributions
    • Yeo, G.F. and Milne, R.K., 1991, On characterizations of beta and gamma distributions. Statistics and Probability Letters, 11, 239-242.
    • (1991) Statistics and Probability Letters , vol.11 , pp. 239-242
    • Yeo, G.F.1    Milne, R.K.2
  • 77
    • 38249024984 scopus 로고
    • On characterizations of exponential distributions
    • Yeo, G.F. and Milne, R.K., 1989, On characterizations of exponential distributions. Statistics and Probability Letters, 7, 303-305.
    • (1989) Statistics and Probability Letters , vol.7 , pp. 303-305
    • Yeo, G.F.1    Milne, R.K.2
  • 78
    • 11444262605 scopus 로고
    • On pairs of independent random variables whose product follows the gamma distribution
    • Kotlarski, I., 1965, On pairs of independent random variables whose product follows the gamma distribution. Biometrika, 52, 289-294.
    • (1965) Biometrika , vol.52 , pp. 289-294
    • Kotlarski, I.1
  • 79
    • 11444267987 scopus 로고
    • Distributional identities of beta and chi-squared variables: A geometric interpretation
    • Bailey, R.W., 1992, Distributional identities of beta and chi-squared variables: A geometric interpretation. The American Statistician, 46, 117-120.
    • (1992) The American Statistician , vol.46 , pp. 117-120
    • Bailey, R.W.1
  • 80
    • 0001406414 scopus 로고    scopus 로고
    • Algebraic properties of beta and gamma distributions, and applications
    • Dufresne, D., 1998, Algebraic properties of beta and gamma distributions, and applications. Advances in Applied Mathematics, 20, 285-299.
    • (1998) Advances in Applied Mathematics , vol.20 , pp. 285-299
    • Dufresne, D.1
  • 85
    • 0006045943 scopus 로고
    • The use of geometric and gamma-related distributions for frequency analysis of water deficit
    • Mathier, L., Perreault, L., Bobe, B. and Ashkar, F., 1992, The use of geometric and gamma-related distributions for frequency analysis of water deficit. Stochastic Hydrology and Hydraulics, 6, 239-254.
    • (1992) Stochastic Hydrology and Hydraulics , vol.6 , pp. 239-254
    • Mathier, L.1    Perreault, L.2    Bobe, B.3    Ashkar, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.