Estimating the cumulative downtime distribution of a highly reliable component

IEEE Transactions on Reliability

Volumn 45, Issue 3, 1996, Pages 369-374

  Jeske, Daniel R ^a,b  

^a NOKIA RESEARCH CENTER   (United States)

^b NONE   (United States)

Author keywords

Alternating renewal process; Compound bernoulli process; Maximum likelihood estimation; Minimum variance estimation

Indexed keywords

APPROXIMATION THEORY; FAILURE ANALYSIS; PARAMETER ESTIMATION; PROBABILITY;

ALTERNATING RENEWAL PROCESS; COMPOUND BERNOULLI PROCESS; MAXIMUM LIKELIHOOD ESTIMATION; MINIMUM VARIANCE ESTIMATION;

RELIABILITY;

EID: 0030247633     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/24.536987     Document Type: Article

References (12)

1. H. Akima, "A method of bivariate interpolation and smooth surface fitting for irregularly distributed data points", ACM Trans. Mathematical Software, vol 4, 1978, pp 148-164.
2. R.E. Barlow, L.C. Hunter, "Reliability analysis of a one unit system", J. Operations Research Soc. of America, vol 9, 1961, pp 200-208.
3. J.E. Freund, Mathematical Statistics (5th ed), 1992; Prentice-Hall.
4. K. Funaki, K. Yoshimoto, "Distribution of total uptime during a given time interval", IEEE Trans. Reliability, vol 43, 1994 Sep, pp 489-492.
5. N.L. Johnson, S. Kotz, Discrete Distributions, 1969; John Wiley & Sons.
6. N.A. Marlow, C.M. Hamilton, "Analyzing telecommunication network availability performance using the downtime probability distribution", Global Telecommunications Conf. Record, 1991, pp 590-596.
7. A.M. Mood, F.A. Graybill, D.C. Boes, Introduction to the Theory of Statistics (3rd ed), 1974; McGraw-Hill.
8. E. Parzen, Stochastic Processes, 1962; Holden-Day.
9. L. Takacs, "Occurrence and coincidence phenomena in case of happenings with arbitrary distribution law of duration", Ada Ma/hernatica (Academiae Scientiarum Hungaricae), vol 2, 1951, pp 275-298.
10. L. Takacs, "On certain sojourn time problems in the theory of stochastic processes", Ada Mathematica (Academiae Scientiarum Hungaricae), vol 8, 1957, pp 169-191.
11. L. Takacs, "On limiting distributions concerning a sojourn time problem", Acta Mathematica (Academiae Scientiarum Hungaricae), vol 8, 1957, pp 279-294.
12. L. Takacs, "On a sojourn time problem in the theory of stochastic processes", Trans. American Mathematical Soc, vol 93, 1959, pp 531-540.