which becomes a one parameter exponential family in θi if the scale parameter φ is known. This is simpler than McCullagh and Nelder’s version: they use a(φ) or even ai(φ) in place of φ. The ai(φ) version is useful for data whose precision varies in a known way, as for example when Yi is an average of ni iid random variables. There are two simple examples to keep in mind. Linear regression has Y...

We prove some results on uniqueness of functions with three shared values. Our results improve those given by H. X. Yi, I. Lahiri, T. C. Alzahary & H. X. Yi, and other authors.

Background and Objectives: Preparation and evaluation of nanocomposite films have become prevalent in recent years. Depending on the purpose of using the film, and considering the effects and interaction effects of nanomaterial and other modifiers on the film properties, the amounts of nanomaterials and modifiers should be optimized. The effects of montmorillonite (MMT), glycerol (GL), and thei...

Volume 10, Issue 9, September 2022, 2200356; https://doi.org/10.1002/ente.202200356 The corresponding authors and contact details have been corrected. Shouliang Yi has removed as author McMahan L. Gray added author. Walter C. Wilfong,* Qiuming Wang, Tuo Ji, James S. Baker, Fan Shi, Yi,* W. Wilfong, Q. T. J. F. Yi, M. U.S. Department of Energy National Technology Laboratory(DOE-NETL) Pittsburgh,...