On distribution of waiting time for the first failure followed by a limited length success run

• Autorzy: Czesław Stępniak
• Języki publikacji: EN

Abstrakty

EN

Many doctors believe that a patient will survive a heart attack unless a succeeding attack occurs in a week. Treating heart attacks as failures in Bernoulli trials we reduce the lifetime after a heart attack to the waiting time for the first failure followed by a success run shorter than a given k. In order to test the "true" critical period of the lifetime we need its distribution. The probability mass function and cumulative distribution function of the waiting time are expressed in explicit and concise form by binomial coefficients.

Kategorie tematyczne

• 62E15: Exact distribution theory
• 60C05: Combinatorial probability
• 62N86: Fuzziness, and survival analysis and censored data
• 05A10: Factorials, binomial coefficients, combinatorial functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2013
• Tom: 40
• Numer: 4
• Strony: 421-430

Daty

wydano

2013

Twórcy

autor

Czesław Stępniak

• Faculty of Mathematics and Natural Sciences, University of Rzeszów, Pigonia 1, 35-310 Rzeszów, Poland

Identyfikatory

DOI

10.4064/am40-4-3