On distribution of waiting time for the first failure followed by a limited length success run
Applicationes Mathematicae, Tome 40 (2013) no. 4, pp. 421-430
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
DOI :
10.4064/am40-4-3
Keywords:
many doctors believe patient survive heart attack unless succeeding attack occurs week treating heart attacks failures bernoulli trials reduce lifetime after heart attack waiting time first failure followed success run shorter given order test critical period lifetime its distribution probability mass function cumulative distribution function waiting time expressed explicit concise form binomial coefficients
Affiliations des auteurs :
Czesław Stępniak 1
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title = {On distribution of waiting time for the first failure followed by a limited length success run},
journal = {Applicationes Mathematicae},
pages = {421--430},
publisher = {mathdoc},
volume = {40},
number = {4},
year = {2013},
doi = {10.4064/am40-4-3},
zbl = {1281.62237},
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Czesław Stępniak. On distribution of waiting time for the first failure followed by a limited length success run. Applicationes Mathematicae, Tome 40 (2013) no. 4, pp. 421-430. doi: 10.4064/am40-4-3
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