caa a22 4500 606196382 CHVBK 20210128100924.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10260-014-0278-3 doi (NATIONALLICENCE)springer-10.1007/s10260-014-0278-3 Inference on the parameters of two Weibull distributions based on record values [Elektronische Daten] [H. Zakerzadeh, A. Jafari] The Weibull distribution is a very applicable model for the lifetime data. Therefore, comparing the parameters of two Weibull distributions is very important. However, there is not an appropriate method for comparing the shape or scale parameters in the literatures based on record values. In this paper, we have proposed a simple exact method for testing and constructing confidence interval for the ratio of shape parameters in two Weibull distributions. In addition, a simple exact method is proposed for inference about the common shape parameter. For comparing the scale parameters, we use the concepts of generalized confidence interval and generalized p value, and derive approaches when the shape parameters are equal or unequal. Also, we give a generalized approach for inference about the common scale parameter. At the end, we investigate inference about stress-strength reliability. Simulation results show that proposed approaches are satisfactory. All approaches are illustrated using a real example. Springer-Verlag Berlin Heidelberg, 2014 Common parameter nationallicence Coverage probability nationallicence Generalized p value nationallicence Generalized confidence interval nationallicence Stress-strength reliability nationallicence Upper record nationallicence Zakerzadeh H. Department of Statistics, Yazd University, Yazd, Iran aut Jafari A. Department of Statistics, Yazd University, Yazd, Iran aut Statistical Methods & Applications Springer Berlin Heidelberg 24/1(2015-03-01), 25-40 1618-2510 24:1<25 2015 24 10260 https://doi.org/10.1007/s10260-014-0278-3 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/s10260-014-0278-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zakerzadeh H. Department of Statistics, Yazd University, Yazd, Iran aut NATIONALLICENCE 700 1- Jafari A. Department of Statistics, Yazd University, Yazd, Iran aut NATIONALLICENCE 773 0- Statistical Methods & Applications Springer Berlin Heidelberg 24/1(2015-03-01), 25-40 1618-2510 24:1<25 2015 24 10260