Dewi, Irka Oktafia, NIM. 080212587 (2008) SELANG KEPERCAYAAN RASIO LIKELIHOOD SEMIPARAMETRIK UNTUK PROPORSI CAMPURAN. Skripsi thesis, UNIVERSITAS AIRLANGGA.
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Abstract
Semiparametric model is to be a combination model between parametric and non parametric models. The aim of this study is to construct confidence interval of semiparametric likelihood ratio for mixture proportion. In the discussion we used the MSELR (Maximum Semi Empirical Likelihood Ratio) method, i.e., a combination method between Maximum Likelihood Ratio Test (MLRT) and Maximum Empirical Likelihood Ratio (MELR) methods. By using the MSELR method, the pivotal quantity for mixture proportion of semiparametric model can be investigated. So, by considering the pivotal quantity distribution, the confidence interval of semiparametric likelihood ratio for mixture proportion, can be easilly obtained. The result showed that the distribution of pivotal quantity converged to Chi Square distribution of 1 degree freedom. The confidence interval of semiparametric likelihood ratio for mixture proportion was: [ Look at the master or hard the copy of this thesis] The second differentiable of log-likelihood for parameters λ, β , α . Based on data of 98 patients of 1-54 years who were infected by dengue viruses we obtained semi-parametric likelihood ratio confidence intervals for mixture proportion location between 0,358 and 0,5.
| Item Type: | Thesis (Skripsi) | ||||||
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| Additional Information: | KKC MPM 23/07 Dew s | ||||||
| Uncontrolled Keywords: | FUNGTIONS; CONFIDENCE INTERVALS | ||||||
| Subjects: | Q Science > QA Mathematics > QA273-280 Probabilities. Mathematical statistics | ||||||
| Divisions: | 08. Fakultas Sains dan Teknologi > Matematika | ||||||
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| Depositing User: | Sulistiorini | ||||||
| Date Deposited: | 27 May 2008 12:00 | ||||||
| Last Modified: | 07 Sep 2016 06:03 | ||||||
| URI: | http://repository.unair.ac.id/id/eprint/25188 | ||||||
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