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http://krishi.icar.gov.in/jspui/handle/123456789/42659| Title: | Maximum likelihood and uniformly minimum variance unbiased estimation of p(y<x) for Gompertz distribution. |
| Other Titles: | Not Available |
| Authors: | Wasi Alam Ajit Chaturvedi K N Singh Anil Kumar Amrit Kumar Paul Ranjeet Kumar Paul Kanchan Sinha |
| ICAR Data Use Licennce: | http://krishi.icar.gov.in/PDF/ICAR_Data_Use_Licence.pdf |
| Author's Affiliated institute: | ICAR::Indian Agricultural Statistics Research Institute |
| Published/ Complete Date: | 2014-01-01 |
| Project Code: | Not Available |
| Keywords: | Maximum likelihood estimator Uniformly minimum variance unbiased estimator Gompertz distribution P(Y < X) |
| Publisher: | ICAR |
| Citation: | Alam, W., Chaturvedi, A., Singh, K.N., Kumar, A. Paul, A.K., Paul, R.K. and Sinha, K. (2014). Maximum likelihood and uniformly minimum variance unbiased estimation of p(y<x) for Gompertz distribution. International Journal of Agricultural and Statistical Sciences, 10(2), 267-274. |
| Series/Report no.: | Not Available; |
| Abstract/Description: | Maximum likelihood estimator of R = P(Y < X) is derived when all the parameters of Gompertz distribution for X and Y are unknown and unequal. Maximum likelihood estimator for estimating ‘R’ is also derived, when one parameter is known (and equal), but other parameter is unknown for X and Y. Uniformly minimum variance unbiased estimator (UMVUE) of P(Y < X) is also derived for the case when one parameter is known (and unequal), but other parameter is unknown for both X and Y. A new approach has been applied for deriving the UMVUE of R using estimator of power of unknown parameter. Performance of the estimators have been examined using bootstrap technique. |
| Description: | Not Available |
| ISSN: | Not Available |
| Type(s) of content: | Article |
| Sponsors: | Not Available |
| Language: | English |
| Name of Journal: | International Journal of Agricultural and Statistical Sciences |
| NAAS Rating: | 4.92 |
| Volume No.: | 10(2) |
| Page Number: | 267-274 |
| Name of the Division/Regional Station: | statistical genetics |
| Source, DOI or any other URL: | Not Available |
| URI: | http://krishi.icar.gov.in/jspui/handle/123456789/42659 |
| Appears in Collections: | AEdu-IASRI-Publication |
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