caa a22 4500 60551982X CHVBK 20210128100732.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s11009-014-9435-2 doi (NATIONALLICENCE)springer-10.1007/s11009-014-9435-2 Exact Calculation of the Distributions of the Stopping Times of Two Types of Truncated SPRT for the Mean of the Exponential Distribution [Elektronische Daten] [Shyamal De, Shelemyahu Zacks] Truncated sequential test procedures are proposed for testing the mean time between failures of a system with exponential life distribution. The exact distributions of the stopping times for the sequential tests are derived by investigating boundary crossing times of homogeneous Poisson processes. The exact formulas for the expected values of the stopping variables and the survival functions are derived. Moreover, the operation characteristic functions are derived exactly for the proposed sequential tests. Springer Science+Business Media New York, 2015 Linear boundaries nationallicence Operating characteristic nationallicence Poisson process nationallicence Sequential testing nationallicence Stopping time nationallicence Survival function nationallicence De Shyamal School of Mathematical Sciences, National Institute of Science Education and Research, 751005, Bhubaneswar, Odisha, India aut Zacks Shelemyahu Department of Mathematical Sciences, Binghamton University, 4400 Vestal parkway East, 13902, Binghamton, NY, USA aut Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/4(2015-12-01), 915-927 1387-5841 17:4<915 2015 17 11009 https://doi.org/10.1007/s11009-014-9435-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-014-9435-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- De Shyamal School of Mathematical Sciences, National Institute of Science Education and Research, 751005, Bhubaneswar, Odisha, India aut NATIONALLICENCE 700 1- Zacks Shelemyahu Department of Mathematical Sciences, Binghamton University, 4400 Vestal parkway East, 13902, Binghamton, NY, USA aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/4(2015-12-01), 915-927 1387-5841 17:4<915 2015 17 11009