Convolutions of erlang and of pascal distributions with applications to reliability

Demonstratio Mathematica

Volumn 36, Issue 1, 2003, Pages 231-238

  Jasiulewicz, Helena ^a   Kordecki, Wojciech ^a  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85044430650     PISSN: 04201213     EISSN: 23914661     Source Type: Journal    
DOI: 10.1515/dema-2003-0125     Document Type: Article

References (7)

1. N. L. Johnson, S. Kotz (1969), Discrete Distributions, Wiley, New York.
2. N. L. Johnson, S. Kotz, N. Balakrishnan (1994), Continuous Univariate Distributions - 1, Wiley, New York.
3. W. Kordecki (1997), Reliability bounds for multistage structures with independent components, Stat. Probab. Lett. 34, pp. 43-51.
4. M. V. Lomonosov (1974), Bernoulli scheme with closure, Problems Inform. Transmission 10, pp. 73-81.
5. A. M. Mathai, (1982), Storage capacity of a dam, with gamma type inputs, Ann. Inst. Statist. Math. 34, pp. 591-597.
6. S. M. Ross (1993), Introduction to Probability Models, 5th ed. Academic Press, New York.
7. A. Sen, N. Balakrishnan (1999), Convolution of geometries and a reliability problem, Stat. Probab. Lett. 43, pp. 421-426.