On The Distribution Of Mixed Sum Of Independent Random Variables One Of Them Associated With Srivastava's Polynomials And H -Function

[1] J. Albert, Sums of uniformly distributed variables, College Mathematics Journal, 33 (2002), 201-206.10.1080/07468342.2002.11921941Search in Google Scholar

[2] R.G. Buschman and H.M. Srivastava The H -Function Associated with a Certaion Class of Feynman Integrals, Journal of Physics A: Mathematical and General, 23 (1990), 4707-4710.10.1088/0305-4470/23/20/030Search in Google Scholar

[3] V.B.L. Chaurasia and J. Singh, The distribution of the sum of mixed independent random variables pertaining to special functions, International Journal of Engineering Science and Technology, 2(7) (2010), 2601 -2606.Search in Google Scholar

[4] A. Erdélyi et al., Tables of Integral Transforms, Vol. I, McGraw-Hill, New York, (1954).Search in Google Scholar

[5] A. Erdélyi et al., Higher Transcendental Functions, Vol. I. McGraw-Hill, New York, (1953).Search in Google Scholar

[6] C. Fox, The G and H functions as symmetrical Fourier kernels, Trans. Amer. Math. Soc., 98 (1961), 395-429.Search in Google Scholar

[7] J.V. Grice and L.J. Bain, Inferences concerning the mean of the gamma distribution, Journal of the American Statistical Association, 75 (1980), 929-933.10.1080/01621459.1980.10477574Search in Google Scholar

[8] M.K. Gupta, The distribution of mixed sum of independent random variables one of them associated with H -function, Ganita Sandesh, 22(2) (2008), 139-146.Search in Google Scholar

[9] H. Holm, M.A. Alouini, Sum and difference of two squared correlated Nakagami variates in connection with the McKay distribution, IEEE Transactions on communications, 52(8) (2004), 1367-1376.10.1109/TCOMM.2004.833019Search in Google Scholar

[10] A.A. Inayat-Hussain, New Properties of Hypergeometric Series Derivable from Feynman Integrals. II: A Generalization of the H-function, Journal of Physics A: Mathematical and General, 20 (1987), 41194128.10.1088/0305-4470/20/13/020Search in Google Scholar

[11] O.A.Y. Jackson, Fitting a gamma or log-normal distribution to fiber-diameter measurements on wool tops, Applied Statistics, 18(1969), 70-75.10.2307/2346441Search in Google Scholar

[12] H. Linhart, Approximate confidence limits for the coefficient of variation of gamma distributions, Biometrics, 21 (1965), 733-738.10.2307/2528554Search in Google Scholar

[13] H.A. Loaiciga and R.B. Leipnik, Analysis of extreme hydrologic events with Gumbel distributions: marginal and additive cases, Stochastic Environmental Research and Risk Assessment, 13 (1999), 251 - 259.10.1007/s004770050042Search in Google Scholar

[14] A.M. Mathai and R.K. Saxena, On the linear combination of stochastic variables, Metrika, 20(3) (1973), 160-169.10.1007/BF01893816Search in Google Scholar

[15] P.G. Moschopoulos, The distribution of the sum of independent gamma random variables, Annals of the Institute of Statistical Mathematics, 37 (1985), 541-544.10.1007/BF02481123Search in Google Scholar

[16] G.P. Nason, On the sum of t and Gaussian random variables, Statistics and Probability Letters, 76(12) (2006), 1280-1286.10.1016/j.spl.2006.01.006Search in Google Scholar

[17] S.B. Provost, On sums of independent gamma random variables, Statistics, 20 (1989), 589-591.10.1080/03610928908802211Search in Google Scholar

[18] M.D. Springer, The Algebra of Random Variables, John Wiley and Sons, New York, (1979).Search in Google Scholar

[19] H.M. Srivastava, A contour integral involving Fox's H-function, Indian Journal of Mathematics, 14 (1972), 1 -6.Search in Google Scholar

[20] H.M. Srivastava and N.P. Singh, The integration of certain products of the multivariable H-function with a general class of polynomials, Rend. Circ. Mat. Palermo, (Ser. 2) 32 (1983), 157-187.Search in Google Scholar

[21] H.M. Srivastava and J.P. Signhal, On a class of generalized hypergeometric distributions, Jnanabha Sect. A 2 (1972), 1-9.Search in Google Scholar

[22] C. Sezgö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. 23 Fourth edition, Amer. Math. Soc. Providence, Rhode Island, (1975).Search in Google Scholar

[23] J.R. Van Dorp and S. Kotz, Generalizations of two sided power distributions and their convolution, Communications in Statistics, Theory and Methods, 32(9) (2003), 1703-1723.10.1081/STA-120022704Search in Google Scholar