Geodesic
On distribution of waiting time for the first failure followed by a limited length success run
Czesław Stępniak1
1 Faculty of Mathematics and Natural Sciences University of Rzeszów Pigonia 1 35-310 Rzeszów, Poland
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

Czesław Stępniak 1

1 Faculty of Mathematics and Natural Sciences University of Rzeszów Pigonia 1 35-310 Rzeszów, Poland 
@article{10_4064_am40_4_3,
     author = {Czes{\l}aw St\k{e}pniak},
     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},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am40-4-3/}
}
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
SP  - 421
EP  - 430
VL  - 40
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am40-4-3/
DO  - 10.4064/am40-4-3
LA  - en
ID  - 10_4064_am40_4_3
ER  - 
%0 Journal Article
%A Czesław Stępniak
%T On distribution of waiting time for the first failure followed by a limited length success run
%J Applicationes Mathematicae
%D 2013
%P 421-430
%V 40
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am40-4-3/
%R 10.4064/am40-4-3
%G en
%F 10_4064_am40_4_3
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. http://geodesic.mathdoc.fr/articles/10.4064/am40-4-3/

Cité par Sources :