Abstract
For constructing simultaneous confidence intervals for the differences of means of several two-parameter exponential distributions, generalized confidence interval (GCI) approach and method of variance estimates recovery (MOVER) approach are proposed. The performance of the proposed approaches is compared with parametric bootstrap (PB) approach. Simulation studies showed that the MOVER approach performs better than the other approaches: its coverage probability is close to the nominal confidence level and average length is shorter than the other approaches. Three approaches are illustrated using an example.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Donner, A., Zou, G.Y.: Closed-form confidence intervals for function of the normal mean and standard deviation. Stat. Methods Med. Res. 21, 347–359 (2010)
Johnson, N.L., Kotz, S.: Continuous Univariate Distributions. Wiley, New York (1970)
Kharrati-Kopaei, M., Malekadeh, A., Sadooghi-Alvandi, M.: Simultaneous fiducial generalized confidence intervals for the successive differences of exponential location parameters under heteroscedasticity. Stat. Probab. Lett. 83, 1547–1552 (2013)
Kharrati-Kopaei, M.: A note on the simultaneous confidence intervals for the successive differences of exponential location parameters under heteroscedasticity. Stat. Methodol. 22, 1–7 (2015)
Lawless, J.F., Singhal, K.: Analysis of data from life test experiments under an exponential model. Naval Res. Logist. Q. 27, 323–334 (1980)
Li, J., Song, W., Shi, J.: Parametric bootstrap simultaneous confidence intervals for differences of means from several two-parameter exponential distributions. Stat. Probab. Lett. 106, 39–45 (2015)
Maurya, V., Goyal, A., Gill, A.N.: Simultaneous testing for the successive differences of exponential location parameters under heteroscedasticity. Stat. Probab. Lett. 8, 1507–1517 (2011)
Sangnawakij, P., Niwitpong, S., Niwitpong, S.: Confidence intervals for the ratio of coefficients of variation in the two-parameter exponential distributions. In: Huynh, V.N., Inuiguchi, M., Le, B., Le, B., Denoeux, T. (eds.) Integrated Uncertainty in Knowledge Modelling and Decision Making. Lecture Notes in Artificial Intelligence, vol. 9978, pp. 542–551. Springer, Cham (2016)
Sangnawakij, P., Niwitpong, S.: Confidence intervals for coefficients of variation in two-parameter exponential distributions. Commun. Stat. Simul. Comput. 46(8), 6618–6630 (2017)
Thangjai, W., Niwitpong, S.: Confidence intervals for the weighted coefficients of variation of two-parameter exponential distributions. Cogent Math. 4, 1–16 (2017)
Weerahandi, S.: Generalized confidence intervals. J. Am. Stat. Assoc. 88, 899–905 (1993)
Zelen, M.: Application of exponential models problems in cancer research. J. Roy. Stat. Soc. 129, 368–398 (1966)
Zou, G.Y., Donner, A.: Construction of confidence limits about effect measures: a general approach. Stat. Med. 27, 1693–1702 (2008)
Zou, G.Y., Taleban, J., Hao, C.Y.: Confidence interval estimation for lognormal data with application to health economics. Comput. Stat. Data Anal. 53, 3755–3764 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Thangjai, W., Niwitpong, SA., Niwitpong, S. (2018). Simultaneous Confidence Intervals for All Differences of Means of Two-Parameter Exponential Distributions. In: Anh, L., Dong, L., Kreinovich, V., Thach, N. (eds) Econometrics for Financial Applications. ECONVN 2018. Studies in Computational Intelligence, vol 760. Springer, Cham. https://doi.org/10.1007/978-3-319-73150-6_24
Download citation
DOI: https://doi.org/10.1007/978-3-319-73150-6_24
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-73149-0
Online ISBN: 978-3-319-73150-6
eBook Packages: EngineeringEngineering (R0)