Partial sequential testing for comparing two univariate normal distributions
This article provides a two-stage procedure to develop a partial sequential test procedure for both the location and scale parameters of a normal distribution. The first stage is taken to be of a fixed sample size. The stopping rule is obtained by adopting a two-stage procedure on the number of inde...
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| Published in | Sequential analysis Vol. 44; no. 1; pp. 111 - 133 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
Taylor & Francis
02.01.2025
Taylor & Francis Ltd |
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| Abstract | This article provides a two-stage procedure to develop a partial sequential test procedure for both the location and scale parameters of a normal distribution. The first stage is taken to be of a fixed sample size. The stopping rule is obtained by adopting a two-stage procedure on the number of index subjects using an inverse sampling scheme in the second stage. Different asymptotic results associated with the procedure are obtained. The findings are supported by detailed simulation studies followed by three data illustrations. |
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| AbstractList | This article provides a two-stage procedure to develop a partial sequential test procedure for both the location and scale parameters of a normal distribution. The first stage is taken to be of a fixed sample size. The stopping rule is obtained by adopting a two-stage procedure on the number of index subjects using an inverse sampling scheme in the second stage. Different asymptotic results associated with the procedure are obtained. The findings are supported by detailed simulation studies followed by three data illustrations. |
| Author | Biswas, Atanu Basak, Sancharee Bandyopadhyay, Uttam |
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| Cites_doi | 10.1080/10485250802496731 10.1214/aoms/1177730491 10.1080/07474940701620915 10.24432/C5H30K 10.1080/07474946.2016.1165535 10.1080/03610928008827929 10.1002/bimj.4710370302 10.1080/00949655.2021.1998499 10.1016/B978-012642350-1/50021-7 10.1214/aoms/1177705688 10.1080/00949650008812003 10.1002/9781118165928 10.1080/10485250213901 10.1016/j.jspi.2011.02.017 10.1093/biomet/58.1.213 10.2307/2530428 10.1080/01621459.1977.10479939 10.1177/0008068319920306 10.1007/978-3-319-39065-9_9 10.1080/02331888.2014.960868 10.1080/07474940500310981 10.1080/07474946.2016.1238257 10.1080/07474940601112500 |
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| References | Rublík F. (e_1_3_3_23_1) 2005; 41 Kössler W. (e_1_3_3_16_1) 2006 Montgomery D. C. (e_1_3_3_19_1) 2009 e_1_3_3_18_1 e_1_3_3_17_1 e_1_3_3_14_1 e_1_3_3_13_1 e_1_3_3_15_1 e_1_3_3_10_1 e_1_3_3_12_1 e_1_3_3_11_1 e_1_3_3_7_1 e_1_3_3_6_1 e_1_3_3_9_1 e_1_3_3_8_1 e_1_3_3_25_1 e_1_3_3_24_1 e_1_3_3_27_1 e_1_3_3_26_1 e_1_3_3_3_1 e_1_3_3_21_1 e_1_3_3_2_1 e_1_3_3_20_1 e_1_3_3_5_1 e_1_3_3_4_1 e_1_3_3_22_1 |
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| SubjectTerms | 62L15 Ansari-Bradley test Asymptotic methods inverse sampling Lepage's test Normal distribution stopping rule two-stage procedure univariate normal distribution Wilcoxon-Mann-Whitney test |
| Title | Partial sequential testing for comparing two univariate normal distributions |
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