Closed-form expression for the poisson-binomial probability density function

IEEE Transactions on Aerospace and Electronic Systems

Volumn 46, Issue 2, 2010, Pages 803-817

  Fernández, Manuel ^a   Williams, Stuart ^a,b  

^a LOCKHEED MARTIN   (United States)

^b SENSIS CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BINOMIAL COEFFICIENTS; CLOSED-FORM EXPRESSION; COMPUTATION OF MOMENTS; COMPUTING SPEED; CUMULATIVE DISTRIBUTION FUNCTION; MULTISENSOR DATA FUSION; PERFORMANCE CHARACTERIZATION; PROBABILITY DENSITY FUNCTION (PDF); SYSTEM MANAGEMENT;

COMBINATORIAL MATHEMATICS; DISTRIBUTION FUNCTIONS; FAULT DETECTION; FAULT TOLERANCE; PROBABILITY; QUALITY ASSURANCE; SENSOR DATA FUSION; TARGET TRACKING;

PROBABILITY DENSITY FUNCTION;

EID: 77952715536     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAES.2010.5461658     Document Type: Article

References (13)

1. Kuo, W., and Zuo, M. Optimal Reliability Modeling. Hoboken, NJ: Wiley, 2003.
2. Blackman, S. Multiple-Target Tracking with Radar Application. Norwood, MA: Artech House, 1986.
3. Shnidman, D. Binary integration for Swerling target fluctuations. IEEE Transactions on Aerospace and Electronics Systems, 34, 3 (1998), 1043-1053.
4. Frey, T. An approximation for the optimum binary integration threshold for Swerling II targets. IEEE Transactions on Aerospace and Electronics Systems, 32, 3 (1996), 1181-1185.
5. Ferńandez, M., and Aridgides, A. Measures for evaluating sea-mine identification processing performance and the enhancements provided by fusing multisensor/multiprocess data via an M-out-of-N voting scheme. Proceedings of SPIE, vol.5089, 2003.
6. Feller, W. An Introduction to Probability Theory and Its Applications, vol.I. Wiley Series in Probability and Mathematical Statistics, New York: Wiley, 1968.
7. McClellan, J., and Rader, C. Number Theory in Digital Signal Processing. Upper Saddle River, NJ: Prentice-Hall, 1979.
8. Belfore, L. An O(n(log2(n))2) algorithm for computing the reliability of k-out-of-n : G & k-to-l-out-of-n : G systems. IEEE Transactions on Reliability, 44, 1 (1995), 132-136.
9. Radke, G., and Evanoff, J. A fast recursive algorithm to compute the probability of M-out-of-N events. In Proceedings of the Annual Reliability and Maintainability Symposium, 1994, 114-117.
10. Chen, S., and Liu, J. Statistical applications of the Poisson-binomial and conditional Bernoulli distributions. Statistica Sinica, 7 (1997), 875-892.
11. Bracewell, R. The Fourier Transform and Its Applications. Columbus, OH: McGraw-Hill, 1999.
12. http://binomial.csuhayward.edu/Identities.html.
13. http://en.wikipedia.org/wiki/Wilkinson's polynomial.