Mixture inverse Gaussian distributions and its transformations, moments and applications

Statistics

Volumn 43, Issue 1, 2009, Pages 91-104

  Balakrishnan, N ^a   Leiva, Víctor ^b   Sanhueza, Antonio ^c   Cabrera, Enrique ^b,d  

^a MCMASTER UNIVERSITY   (Canada)

^b UNIVERSIDAD DE VALPARAÍSO   (Chile)

^c UNIVERSIDAD DE LA FRONTERA   (Chile)

^d PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAÍSO   (Chile)

Author keywords

Goodness of fit; Kurtosis; Lifetime distributions; Likelihood methods; Skewness

Indexed keywords

EID: 61449209156     PISSN: 02331888     EISSN: 10294910     Source Type: Journal    
DOI: 10.1080/02331880701829948     Document Type: Article

References (22)

1. S.C. Saunders, A family of random variables closed under reciprocation, J. Amer. Statist. Assoc. 69 (1974), pp. 533-539.
2. H.H. Panjer, Operational Risk: Modeling Analytics, JohnWiley and Sons, New Jersey, 2006.
3. V. Leiva,A. Sanhueza, A. Silva, and M. Galea, A new three-parameter extension of the inverse Gaussian distribution, Statist. Probab. Lett. (2008), pp. 1266-1273.
4. C. Kleiber and S. Kotz, Statistical Size Distribution in Economics and Actuarial Sciences, John Wiley and Sons, NewYork, 2003.
5. K.T. Fang, S. Kotz, and K.W. Ng, Symmetric Multivariate and Related Distributions, Chapman and Hall, London, 1990.
6. N.L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions, Vol. 2, John Wiley and Sons, NewYork, 1995.
7. N.L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions, Vol. 1, John Wiley and Sons, NewYork, 1994.
8. J.K. Ord, Families of Frequency Distributions, Griffin, London, 1972.
9. G.S. Mudholkar and R. Natarajan, The inverse Gaussian models: analogues of symmetry, skewness and kurtosis, Ann. Inst. Statist. Math. 54 (2002), pp. 138-154.
10. N. Cressie et al., The moment-generating function and negative integer moments, Amer. Statist. 35 (1981), pp. 148-150.
11. H.K. Ng, D. Kundu, and N. Balakrishnan, Modified moment estimation for the two-parameter Birnbaum-Saunders distribution, Comput. Statist. Data Anal 43 (2003), pp. 283-298.
12. A. Consortin and F. Rigal, Fractional moments and their usefulness in atmospheric laser scintillation, Pure Appl. Opt. 7 (1998), pp. 1013-1032.
13. V. Dutt and J.F. Greenleaf, Speckle analysis using signal to noise ratios based on fractional order moments, Ultrason. Imag. 17 (1995), pp. 251-268.
14. Karmeshu and S. Sharma, Queue length distribution of network packet traffic: tsallis entropy maximization with fractional moments, IEEE Commun. Lett. 10 (2006), pp. 34-36.
15. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, NewYork, 2000.
16. V. Seshadri, The Inverse Gaussian Distribution: Statistical Theory and Applications, Springer, NewYork, 1999.
17. J.R. Rieck,A moment-generating function with application to the Birnbaum-Saunders distribution, Commun. Statist. Theory Meth. 28 (1999), pp. 2213-2222.
18. N. Balakrishnan,V. Leiva, and J. López, Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution, Comm. Statist. Simul. Comput. 36 (2007), pp. 643-656.
19. D.R. Cox and D. Oakes, Analysis of Survival Data, Chapman and Hall, London, 1984.
20. W.Q. Meeker and L.A. Escobar, Statistical Methods for Reliability Data, JohnWiley and Sons, NewYork, 1998.
21. R.C. Gupta and O.Akman, On the reliability studies of a weighted inverse Gaussian model, J. Statist. Plann. Inference 48 (1995), pp. 68-93.
22. R.S. Chhikara and J.L. Folks, The Inverse Gaussian Distribution, Marcel Dekker, NewYork, 1989.