We study p-adic multiresolution analyses (MRAs). A complete characterisation of test functions generating MRAs (scaling functions) is given. We prove that only 1-periodic test functions may be taken as orthogonal scaling functions. We also suggest a method for the construction of wavelet functions and prove that any wavelet function generates a p-adic wavelet frame.

An overview of the evolution of probability models for over-dispersion is given looking at their origins, motivation, first main contributions, important milestones and applications. A specific class of models called the Waring and generalized Waring models will be a focal point. Their advantages relative to other classes of models and how they can be adapted to handle multivariate data and tem...

this study is a step toward identifying spatial and temporal patterns of precipitation on the territory of iraq. the purpose of this analysis, the data related to the network database aphrodite a 57 -year period (2007-1951), was used. the data matrix consists of three cell location, the original data (rainfall) and the calendar matrix .surfer was drawn up. also analyzed for the first time and t...

Ichthyoplankton data provide a base for research into population dynamics of major fishery species. Information on ichthyoplankton ecology forms an important component of stock assessment and fishery management plans. Also, nursery areas are important regions for the recruitment success of fishery stocks and as such, conservation of these areas is a key part of fishery management. Temporal dist...