A tolerance interval procedure is derived from the concept of generalized pivotal quantities usually used to obtain confidence intervals in situations where standard procedures do not lead to useful solutions. We apply the generalized confidence intervals approach and propose a two-sided tolerance interval for the distribution N(θ, ∑q i=1 hiσ 2 i ) based on mutually independent statistics θ̂, S ...

In 2003, Araujo and Jarosz showed that every bijective linear map θ : A → B between unital standard operator algebras preserving zero products in two ways is a scalar multiple of an inner automorphism. Later in 2007, Zhao and Hou showed that similar results hold if both A,B are unital standard algebras on Hilbert spaces and θ preserves range or domain orthogonality. In particular, such maps are...

Following the econometric literature on model misspecification, we examine statistical inference for linear regression coefficients βj when the predictors are random and the linear model assumptions of first and/or second order are violated: E[Y |X1, ..., Xp] is not linear in the predictors and/or V [Y |X1, ..., Xp] is not constant. Such inference is meaningful if the linear model is seen as a ...

background: daylight availability data are essential for designing effectively day lighted buildings. in respect to no available daylight availability data in iran, illuminance data on the south facing vertical surfaces were estimated using a proper method. methods: an illuminance measuring set was designed for measuring vertical illuminances for standard times over 15 days at one hour interval...