Bounds on ratios of means
نویسندگان
چکیده
منابع مشابه
Optimal convex combinations bounds of centrodial and harmonic means for logarithmic and identric means
We find the greatest values $alpha_{1} $ and $alpha_{2} $, and the least values $beta_{1} $ and $beta_{2} $ such that the inequalities $alpha_{1} C(a,b)+(1-alpha_{1} )H(a,b)
متن کاملMeans, Correlations and Bounds
The partition function for a Boltzmann machine can be bounded from above and below. We can use this to bound the means and the correlations. For networks with small weights, the values of these statistics can be restricted to non-trivial regions (i.e. a subset of [-1 , 1]). Experimental results show that reasonable bounding occurs for weight sizes where mean field expansions generally give good...
متن کاملInferences for Ratios of Normal Means
Inferences concerning ratios of means of normally distributed random variables or ratios of regression coefficients arise in a variety of problems in biomedical research. For example, in tests for non-inferiority of one or more experimental treatments against a positive control, it is often easier to define and also to interpret the non-inferiority margin as percentage changes (or fraction reta...
متن کاملoptimal convex combinations bounds of centrodial and harmonic means for logarithmic and identric means
we find the greatest values $alpha_{1} $ and $alpha_{2} $, and the least values $beta_{1} $ and $beta_{2} $ such that the inequalities $alpha_{1} c(a,b)+(1-alpha_{1} )h(a,b)
متن کاملCertain Bounds for the Differences of Means
Let Pn,r(x) be the generalized weighted power means. We consider bounds for the differences of means in the following form: max { Cu,v,β x 1 , Cu,v,β x n } σn,w′,β ≥ P n,u − P n,v α ≥ min { Cu,v,β x 1 , Cu,v,β x n } σn,w,β . Here β 6= 0, σn,t,β( x) = ∑n i=1 ωi[x β i −P β n,t(x)] andCu,v,β = u−v 2β2 . Some similar inequalities are also considered. The results are applied to inequalities of Ky Fa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics
سال: 1962
ISSN: 0022-4340
DOI: 10.6028/jres.066b.018