Comparison of Three Calculation Methods for a Bayesian Inference of P(π1 > π2)
نویسندگان
چکیده
In Bayesian inference, some researchers have examined the difference of binominal proportions using () 1 2 0 1 2 P | , X X θ π π = > − ∆ , where i X denote binomial random variable with parameter i π. An approximate method and the MCMC method are compared with an exact method for θ , and results of actual clinical trials using θ are presented.
منابع مشابه
On sample size determination based on a Bayesian index of superiority for two independent binomial proportions
In clinical study, calculation for sample size is often done using the frequentist framework. However, several methods of calculation using the Bayesian framework have been proposed. In this paper, we propose a method for the determination of sample sizes using the index θ = P ( π1 > π2|X1, X2 ) , where X1 and X2 denote the binomial random variables for trials n1 and n2 and parameters π1 and π2...
متن کامل8. Parameterized intractability: the W-hierarchy - COMP6741: Parameterized and Exact Computation
1 Reminder: Polynomial Time Reductions and NP-completeness Polynomial-time reduction Definition 1. A polynomial-time reduction from a decision problem Π1 to a decision problem Π2 is a polynomialtime algorithm, which, for any instance of Π1 produces an equivalent instance of Π2. If there exists a polynomial-time reduction from Π1 to Π2, we say that Π1 is polynomial-time reducible to Π2 and write...
متن کاملPermutation Patterns and Continued Fractions
We find, in the form of a continued fraction, the generating function for the number of (132)-avoiding permutations that have a given number of (123) patterns, and show how to extend this to permutations that have exactly one (132) pattern. We also find some properties of the continued fraction, which is similar to, though more general than, those that were studied by Ramanujan. the electronic ...
متن کاملInference of Markov Chain: AReview on Model Comparison, Bayesian Estimation and Rate of Entropy
This article has no abstract.
متن کاملA Triple Product Calculation for Gl2(r)
Let F be a number field and A = AF the ring of adeles. Let T be the subgroup of GL2 consisting of diagonal matrices with Z ⊆ T the center. Let N ⊆ GL2 be the subgroup of upper triangle unipotent matrices so that P = TN the standard Borel. Given automorphic representations π1, π2, π3 of GL2 over F such that the product of the central characters is trivial, one can consider the so-called triple p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016