Hypoexponential Distribution with Different Parameters

Show more

References

[1] W. Feller, “An Introduction to Probability Theory and Its Applications,” Vol. II, Wiley, New York, 1971.

[2] S. M. Ross, “Introduction to Probability Models,” 10th Edition, Academic Press, San Diego, 2011.

[3] B. Anjum and H. G. Perros, “Adding Percentiles of Erlangian Distributions,” IEEE Communications Letters, Vol. 15, No. 3, 2011, pp. 346-348.
doi:10.1109/LCOMM.2011.011011.102143

[4] K. S. Trivedi, “Probability and Statistics with Reliability, Queuing and Computer Science Applications,” 2nd Edi tion, John Wiley & Sons, Hoboken, 2002.

[5] W. Kordecki, “Reliability Bounds for Multistage Structure with Independent Components,” Statistics & Probability Letters, Vol. 34, No. 1, 1997, pp. 43-51.
doi:10.1016/S0167-7152(96)00164-2

[6] A. M. Mathai, “Storage Capacity of a Dam with Gamma Type Inputs,” Annals of the Institute of Statistical Mathe matics, Vol. 34, No. 1, 1982, pp. 591-597.
doi:10.1007/BF02481056

[7] L. D. Minkova, “Insurance Risk Theory,” Lecture Notes, TEMPUS Project SEE Doctoral Studies in Mathematical Sciences, 2010.

[8] G. E. Willmot and J. K. Woo, “On the Class of Erlang Mixtures with Risk Theoretic Applications,” North Ame rican Actuarial Journal, Vol. 11, No. 2, 2007, pp. 99-115.
doi:10.1080/10920277.2007.10597450

[9] G. Bolch, S. Greiner, H. Meer and K. Trivedi, “Queueing Networks and Markov Chains: Modeling and Performance Evaluation with Computer Science Applications,” 2nd Edition, Wiley-Interscience, New York, 2006.

[10] O. Gaudoin and J. Ledoux, “Modélisation Aléatoire en Fiabilité des Logiciels,” Hermès Science Publications, Paris, 2007.

[11] S. Nadarajah, “A Review of Results on Sums of Random Variables,” Acta Applicandae Mathematicae, Vol. 103, No. 2, 2008, pp. 131-140. doi:10.1007/s10440-008-9224-4

[12] M. Akkouchi, “On the Convolution of Exponential Dis tributions,” Chungcheong Mathematical Society, Vol. 21, No. 4, 2008, pp. 501-510.

[13] S. V. Amari and R. B. Misra, “Closed-Form Expression for Distribution of the Sum of Independent Exponential Random Variables,” IEEE Transactions on Reliability, Vol. 46, No. 4, 1997, pp. 519-522. doi:10.1109/24.693785

[14] Z. Jelinski and P. B. Moranda, “Software Reliability Re search,” Statistical Computer Performance Evaluation, Academic Press, New York, 1972, pp. 465-484.

[15] P. B. Moranda, “Event-Altered Rate Models for General Reliability Analysis,” IEEE Transactions on Reliability, Vol. R-28, No. 5, 1979, pp. 376-381.
doi:10.1109/TR.1979.5220648

[16] M. R. Spiegel, “Schaum’s Outline of Theory and Prob lems of Laplace Transforms,” Schaum, New York, 1965.