{"product_id":"extending-the-quandt-ramsey-modeling-to-survival-analysis-von-paichuan-chen","title":"Extending the Quandt Ramsey Modeling to Survival Analysis","description":"\u003cp\u003eThe mixture of two regression regimes has been  extensively studied in economics. The test of a  mixture of regimes in hazard modeling would be seen  to have fundamental importance in biostatistical  research but has not been studied. A two-regime  parametric mixture is proposed to model the effect  of a single covariate on the event time. Typically,  the Cox proportional hazards model is applied to  estimate a single regime survival regression  function. The mixture of two regimes model contains  five parameters to be estimated; namely, two  parameters to describe each regime, and one to  describe the mixing proportion. A software program  developed for this research finds the maximum  likelihood estimates of the parameters and the  likelihood ratio test of the null hypothesis of a  single regime against the alternative of a mixture  of two regimes. A simulation study finds an  approximation to the null distribution of the test  and its approximate power.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783844317770\"\u003e\u003ch3\u003eFinding the MLE of the mixture of two exponential survival functions\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783844317770","offer_id":39495939883101,"sku":"9783844317770","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/25123a65-4e2e-460d-9e78-d0074ecb02f6.jpg?v=1769667660","url":"https:\/\/shop.autorenwelt.de\/products\/extending-the-quandt-ramsey-modeling-to-survival-analysis-von-paichuan-chen","provider":"Autorenwelt Shop","version":"1.0","type":"link"}