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

Czesław Stępniak. "On distribution of waiting time for the first failure followed by a limited length success run." Applicationes Mathematicae 40.4 (2013): 421-430. <http://eudml.org/doc/279985>.

@article{CzesławStępniak2013,
abstract = {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.},
author = {Czesław Stępniak},
journal = {Applicationes Mathematicae},
keywords = {heart attack; life time; Bernoulli trials; compound patterns; probability mass function; cumulative distribution functions},
language = {eng},
number = {4},
pages = {421-430},
title = {On distribution of waiting time for the first failure followed by a limited length success run},
url = {http://eudml.org/doc/279985},
volume = {40},
year = {2013},
}

TY - JOUR
AU - Czesław Stępniak
TI - On distribution of waiting time for the first failure followed by a limited length success run
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 4
SP - 421
EP - 430
AB - 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.
LA - eng
KW - heart attack; life time; Bernoulli trials; compound patterns; probability mass function; cumulative distribution functions
UR - http://eudml.org/doc/279985
ER -