[2] Chaubey Y. P., Talukder A. B. M., Enayet, Nur: Exact moments of a ratio of two positive quadratic forms in normal variables. Comm. Statist. – Theory Methods 12 (1983), 675–679
MR 0696814 |
Zbl 0513.62019
[3] Dobson A. J., Kulasmaa, K., Scherer J.: Confidence intervals for weighted sums of Poisson parameters. Statist. Medicine 10 (1991), 457–462
[4] Fan D.-Y.:
The distribution of the product of independent beta variables. Comm. Statist. – Theory Methods 20 (1991), 4043–4052
MR 1158562
[5] Gradshteyn I. S., Ryzhik I. M.:
Table of Integrals, Series, and Products. Sixth edition. Academic Press, San Diego 2000
MR 1773820 |
Zbl 1208.65001
[6] Grice J. V., Bain L. J.:
Inferences concerning the mean of the gamma distribution. J. Amer. Statist. Assoc. 75 (1980), 929–933
MR 0600978 |
Zbl 0448.62013
[7] Gupta A. K., Nadarajah S.:
Handbook of Beta Distribution and Its Applications. Marcel Dekker, New York 2004
MR 2079703 |
Zbl 1062.62021
[8] Jackson O. A. Y.: Fitting a gamma or log-normal distribution to fibre-diameter measurements on wool tops. Appl. Statist. 18 (1969), 70–75
[9] Johannesson N., Giri N.:
On approximations involving the beta distribution. Comm. Statist. – Simulation Computation 24 (1995), 489–503
MR 1333048 |
Zbl 0850.62187
[10] Kamgar-Parsi B., Kamgar-Parsi, B., Brosh M.: Distribution and moments of weighted sum of uniform random variables with applications in reducing Monte Carlo simulations. J. Statist. Comput. Simulation 52 (1995), 399–414
[11] Kimball C. V., Scheibner D. J.: Error bars for sonic slowness measurements. Geophysics 63 (1998), 345–353
[12] Kotz S., Balakrishnan, N., Johnson N. L.:
Continuous Multivariate Distributions. Volume 1: Models and Applications. Second edition. Wiley, New York 2000
MR 1788152 |
Zbl 0946.62001
[14] Linhart H.:
Approximate confidence limits for the coefficient of variation of gamma distributions. Biometrics 21 (1965), 733–738
MR 0183053
[15] Lowan A. N., Laderman J.:
On the distribution of errors in $n$th tabular differences. Ann. Math. Statist. 10 (1939), 360–364
MR 0000759 |
Zbl 0024.05601
[16] Malik H. J.:
The distribution of the product of two noncentral beta variates. Naval Res. Logist. Quart. 17 (1970), 327–330
Zbl 0225.62017
[17] Mikhail N. N., Tracy D. S.:
The exact non-null distribution of Wilk’s $\Lambda $ criterion in the bivariate collinear case. Canad. Math. Bull. 17 (1975), 757–758
MR 0386155
[18] Monti K. L., Sen P. K.:
The locally optimal combination of independent test statistics. J. Amer. Statist. Assoc. 71 (1976), 903–911
MR 0426266
[19] Pham-Gia T.:
Distributions of the ratios of independent beta variables and applications. Comm. Statist. – Theory Methods 29 (2000), 2693–2715
MR 1804259 |
Zbl 1107.62309
[20] Pham-Gia T., Turkkan N.:
Bayesian analysis of the difference of two proportions. Comm. Statist. – Theory Methods 22 (1993), 1755–1771
MR 1224989 |
Zbl 0784.62024
[21] Pham-Gia T., Turkkan N.: Reliability of a standby system with beta component lifelength. IEEE Trans. Reliability (1994), 71–75
[22] Pham-Gia, T., Turkkan N.:
Distribution of the linear combination of two general beta variables and applications. Comm. Statist. – Theory Methods 27 (1998), 1851–1869
MR 1647792 |
Zbl 0926.62008
[23] Pham-Gia T., Turkkan N.:
The product and quotient of general beta distributions. Statist. Papers 43 (2002) , 537–550
MR 1932772 |
Zbl 1008.62016
[24] Provost S. B., Cheong Y.-H.:
On the distribution of linear combinations of the components of a Dirichlet random vector. Canad. J. Statist. 28 (2000), 417–425
MR 1792058 |
Zbl 0986.62037
[25] Provost S. B., Rudiuk E. M.:
The exact density function of the ratio of two dependent linear combinations of chi-square variables. Ann. Inst. Statist. Math. 46 (1994), 557–571
MR 1309724 |
Zbl 0817.62005
[26] Prudnikov A. P., Brychkov Y. A., Marichev O. I.:
Integrals and Series. Volumes 1, 2 and 3. Gordon and Breach Science Publishers, Amsterdam 1986
Zbl 1103.33300
[27] Rousseau B., Ennis D. M.: A Thurstonian model for the dual pair (4IAX) discrimination method. Perception & Psychophysics 63 (2001), 1083–1090
[28] Sculli D., Wong K. L.: The maximum and sum of two beta variables in the analysis of PERT networks. Omega Internat. J. Manag. Sci. 13 (1985), 233–240
[29] Stein C.:
A two-sample test for a linear hypothesis whose power is independent of the variance. Ann. Math. Statist. 16 (1945), 243–258
MR 0013885 |
Zbl 0060.30403
[30] Toyoda T., Ohtani K.:
Testing equality between sets of coefficients after a preliminary test for equality of disturbance variances in two linear regressions. J. Econometrics 31 (1986), 67–80
MR 0838853
[31] Neumann J. von:
Distribution of the ratio of the mean square successive difference to the variance. Ann. Math. Statist. 12 (1941), 367–395
MR 0006656
[32] Witkovský V.:
Computing the distribution of a linear combination of inverted gamma variables. Kybernetika 37 (2001), 79–90
MR 1825758
[33] Yatchew A. J.:
Multivariate distributions involving ratios of normal variables. Comm. Statist. – Theory Methods 15 (1986), 1905–1926
MR 0848171 |
Zbl 0605.62054