Research Article

On Pseudo Lindley distribution: properties and applications

Volume: 5 Number: 1 January 1, 2017
  • Sihem Nedjar *
  • Halim Zeghdoudi
EN

On Pseudo Lindley distribution: properties and applications

Abstract

In this paper, we give a treatment of the mathematical properties for a new distribution named a pseudo Lindley distribution (PsLD)[14]. The properties studied include: moments, cumulates, characteristic function, failure rate function, mean residual life function, Lorenz curve, stochastic ordering, asymptotic distribution of the extreme order statistics, maximum likelihood estimation and simulation schemes. An application to waiting time data at a bank is described.

Keywords

References

  1. A. Asgharzadeh , H.S. Bakouch, L. Esmaeili (2013). Pareto Poisson-Lindley distribution and its application. Journal of Applied Statistics, pp. 1-18.
  2. M. H. Gail and J. L.Gastwirth (1978). A scale-free goodness of fit test for the exponential distribution based on the Lorenz curve. Journal of the American Statistical Association 73 787–793.
  3. M. E. Ghitany, B. Atieh, S. Nadarajah (2008a). Lindley distribution and its applications. Math. Comput. Simulation , 78, pp. 493-506 .
  4. M.E. Ghitany, D.K. Al-Mutairi, S. Nadarajah (2008b). Zero-truncated Poisson–Lindley distribution and its application, Math. Comput. Simulation, 79, pp. 279–287.
  5. J. F. Lawless (2003). Statistical models and methods for lifetime data. Wiley, New York.
  6. M. R. Leadbetter, G. Lindgren, H. Rootzén (1987). Extremes and Related Properties of Random Sequences and Processes, Springer Verlag, New York.
  7. D. V. Lindley (1958). Fiducial distributions and Bayes theorem. Journal of the Royal Society, series B, 20, pp. 102-107.
  8. R. Shanker, S.Sharma, R.Shanker. (2013). A two-parameter Lindley distribution for modeling waiting and survival times data. Applied Mathematics, vol. 4, pp. 363-368.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Sihem Nedjar * This is me
Algeria

Halim Zeghdoudi This is me
Algeria

Publication Date

January 1, 2017

Submission Date

December 30, 2015

Acceptance Date

December 8, 2016

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Nedjar, S., & Zeghdoudi, H. (2017). On Pseudo Lindley distribution: properties and applications. New Trends in Mathematical Sciences, 5(1), 59-65. https://izlik.org/JA86HK45KE
AMA
1.Nedjar S, Zeghdoudi H. On Pseudo Lindley distribution: properties and applications. New Trends in Mathematical Sciences. 2017;5(1):59-65. https://izlik.org/JA86HK45KE
Chicago
Nedjar, Sihem, and Halim Zeghdoudi. 2017. “On Pseudo Lindley Distribution: Properties and Applications”. New Trends in Mathematical Sciences 5 (1): 59-65. https://izlik.org/JA86HK45KE.
EndNote
Nedjar S, Zeghdoudi H (January 1, 2017) On Pseudo Lindley distribution: properties and applications. New Trends in Mathematical Sciences 5 1 59–65.
IEEE
[1]S. Nedjar and H. Zeghdoudi, “On Pseudo Lindley distribution: properties and applications”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 59–65, Jan. 2017, [Online]. Available: https://izlik.org/JA86HK45KE
ISNAD
Nedjar, Sihem - Zeghdoudi, Halim. “On Pseudo Lindley Distribution: Properties and Applications”. New Trends in Mathematical Sciences 5/1 (January 1, 2017): 59-65. https://izlik.org/JA86HK45KE.
JAMA
1.Nedjar S, Zeghdoudi H. On Pseudo Lindley distribution: properties and applications. New Trends in Mathematical Sciences. 2017;5:59–65.
MLA
Nedjar, Sihem, and Halim Zeghdoudi. “On Pseudo Lindley Distribution: Properties and Applications”. New Trends in Mathematical Sciences, vol. 5, no. 1, Jan. 2017, pp. 59-65, https://izlik.org/JA86HK45KE.
Vancouver
1.Sihem Nedjar, Halim Zeghdoudi. On Pseudo Lindley distribution: properties and applications. New Trends in Mathematical Sciences [Internet]. 2017 Jan. 1;5(1):59-65. Available from: https://izlik.org/JA86HK45KE