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## Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions

#### W. THANGJAİ [1] , S. NİWİTPONG [2] , S. NİWİTPONG [3]

Novel approaches were proposed for constructing simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions, using the method of variance estimates recovery (MOVER) approach and the computational approach. They are then compared with the fiducial generalized confidence interval (FGCI) approach which was presented by (W. Thangjai, S. Niwitpong and S. Niwitpong, Simultaneous fiducial generalized confidence intervals for all differences of coefficients of variation of log-normal distributions, Lecture Notes in Artificial Intelligence, 2016). A Monte Carlo simulation was conducted to compare the performances of these simultaneous confidence intervals based on the coverage probability and average length. Simulation results show that the MOVER approach is satisfactory performances for all sample case ($k$) and sample size ($n$). Moreover, the computational approach performs as well as the MOVER approach when the sample size is large. Our approaches are applied to an analysis of a real data set from rainfall in regions of Thailand.
average length, computational approach, coverage probability, MOVER approach, simulation
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Birincil Dil en İstatistik ve Olasılık İstatistik Orcid: 0000-0002-9306-3742Yazar: W. THANGJAİ Orcid: 0000-0001-9633-6892Yazar: S. NİWİTPONG Orcid: 0000-0003-3059-1131Yazar: S. NİWİTPONG (Sorumlu Yazar) Yayımlanma Tarihi : 8 Ekim 2019
 Bibtex @araştırma makalesi { hujms629923, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe Üniversitesi}, year = {2019}, volume = {48}, pages = {1505 - 1521}, doi = {10.15672/hujms.454804}, title = {Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions}, key = {cite}, author = {Thangjai̇, W. and Ni̇wi̇tpong, S. and Ni̇wi̇tpong, S.} } APA Thangjai̇, W , Ni̇wi̇tpong, S , Ni̇wi̇tpong, S . (2019). Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions . Hacettepe Journal of Mathematics and Statistics , 48 (5) , 1505-1521 . DOI: 10.15672/hujms.454804 MLA Thangjai̇, W , Ni̇wi̇tpong, S , Ni̇wi̇tpong, S . "Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions" . Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1505-1521 Chicago Thangjai̇, W , Ni̇wi̇tpong, S , Ni̇wi̇tpong, S . "Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1505-1521 RIS TY - JOUR T1 - Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions AU - W. Thangjai̇ , S. Ni̇wi̇tpong , S. Ni̇wi̇tpong Y1 - 2019 PY - 2019 N1 - doi: 10.15672/hujms.454804 DO - 10.15672/hujms.454804 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1505 EP - 1521 VL - 48 IS - 5 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.454804 UR - https://doi.org/10.15672/hujms.454804 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions %A W. Thangjai̇ , S. Ni̇wi̇tpong , S. Ni̇wi̇tpong %T Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 5 %R doi: 10.15672/hujms.454804 %U 10.15672/hujms.454804 ISNAD Thangjai̇, W. , Ni̇wi̇tpong, S. , Ni̇wi̇tpong, S. . "Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions". Hacettepe Journal of Mathematics and Statistics 48 / 5 (Ekim 2019): 1505-1521 . https://doi.org/10.15672/hujms.454804 AMA Thangjai̇ W , Ni̇wi̇tpong S , Ni̇wi̇tpong S . Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1505-1521. Vancouver Thangjai̇ W , Ni̇wi̇tpong S , Ni̇wi̇tpong S . Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1505-1521.

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