Some results on the compound Markov binomial model

Abstract

Some years ago, in the course of an analysis of upper and lower limits for incomplete moments of statistical distributions I established an elementary summation formula¹ which proved rather useful for the purpose I had in view. Subsequently the formula was generalized by professor Steffensen, who showed² that the formula in question could be looked upon as giving the first term of an expansion in a certain type of series. Professor Steffensen established recurrence formulae for the coefficients of the series and computed the second, third and fourth term and the corresponding remainders¹, but did not arrive at a general, explicite expression for the coefficient of the n-th term and the corresponding remainder. A year later I found these expressions accidentally while I was working on some other problem. I also discovered the real nature of the procedure in question which proved to be a certain kind of least square fitted polynomial approximation. I did not, however, at the time publish the result. Taking the question up again later I found that the whole problem could be considerably generalized. The type of generalization in question is analogous to the generalization from polynomials to arbitrary functions.     

Parallel visualization of seismic wave propagation

Today parallel visualization of massive datasets from observation and numerical simulation of seismic waves is one of the major goals of geoscience community. A majority of these datasets are time-varying volume data (TVVD), also known as 4D field data. The difficulty of visualizing them on distributed parallel system mainly lies in the algorithm designing for distributed preprocessing of raw datasets, hierarchical point-to-point or collective communication implementation based on distributed data allocation, synchronous volume rendering techniques. In this work we present viable solutions for preprocessing of raw data sets, novel algorithms of parallel rendering and display matrix. Our main objective is focused on the parallel visualization of results coming from full 4D seismic wave propagation simulations.     

The information revolution,innovation diffusion and economic growth: an examination of causal links in European countries

Quality & Quantity - Over the last 5 decades, the economic landscape in Europe has been transformed rapidly due to innovation, digitisation of the economy, and emergence of new sources of...     

Inter-linkages between competition and stabilisation policies in the banking sector and stock market development in Europe

The banking sector and the stock market in Europe have been adversely impacted by a series of global financial crises over the last two decades. Major financial reforms were implemented to enhance the stability and competition within the banking sector. Measures were also implemented to create a vibrant stock market in Europe to stimulate economic growth in Europe. This study examines the interactions between stock market development, banking competition, and banking stability in European countries from 1996 to 2016. The purpose of the study is to understand the inter-linkages between these variables to ascertain the spillover impact of policy reforms in the banking sector on the stock market and vice-versa. Using a vector error-correction model, the study finds long-run and short-run inter-linkages between banking competition, banking stability, and stock market development in European countries. The study’s most robust result is that banking competition and banking stability stimulate stock market development in the long run. There is also some evidence that healthy competition in the banking sector and stock market development instils greater stability in the banking sector. The results suggest that policy measures put in place to create a vibrant stock market must include elevating banking competition and banking stability, with policymakers being cognizant that causality may be bidirectional.     

On separability: Functional structure

Bliss' notion of nonstrict separability is shown to be the most general yet practical formulation of separability. This paper extends the classic theory of strict separability to nonstrict separability. Gorman's basic theorem for overlapping strictly separable groups of variables is generalized. With the generalized basic theorem on hand, Gorman's procedure for deducing functional structures can be extended for deducing the internal structure of a wider class of economic systems modelled by continuous functions. The generalized basic theorem also prepares for the joint characterization of the additively separable and Leontief functional forms.     

A framework of environmental mitigation for the convention and exhibition centers in the China greater Bay area

The numerous participants in convention and exhibition (C&E) events and the consequently huge consumption of direct and indirect resources have increased the environmental pressure on C&E centers to implement environmentally friendly practices and procedures. This paper explores the innovative methods adopted by green-certified C&E centers and synthesizes a reference framework of environmental mitigation practices for the C&E sector in the Greater Bay Area, which was recently designated as a major regional development area in China. Eleven green-certified C&E centers were selected to establish a comprehensive and indicative framework containing 59 actual environmental practices in three major categories. Suggestions made by 12 experts for modifying the fit of the constructed framework to suit the local geographical and climatic situations of C&E centers in the China Greater Bay Area were examined.     

Assessing dimensions of organizational trust across cultures: A comparative analysis of U.S. and Indian full service hotels

This study delves into the organizational trust based similarities and differences across “individualist” and “collectivist” service employees in hotels. Specifically, the three dimensions of organizational trust, i.e., integrity, commitment and dependability are compared across the two samples from the U.S. and India to highlight how employees perceive the level of each of the three dimensions across cultures. Findings suggest that the three dimensions represent the trust construct across different national cultures. However, in comparing the individual dimension of the trust construct, a significant difference exists between the perceptions of employees in the two cultures, suggesting that perception-based differences exist across cultures.     

Workshop on Computational Studies of Interfacial Phenomena: Nanoscale to Mesoscale

This is a report of a workshop on nanoscale to mesoscale phenomena held at the Environmental Molecular Science Laboratory (EMSL) of the Pacific Northwest National Lab (PNNL) in Richland, Washington on September 24 to 25, 1998. Around thirty scientists from physics, chemistry, geology, geophysics, computer science, soil science, and applied mathematics gathered and presented 14 lectures covering many areas, which included interfacial mineral chemistry, large-scale molecular dynamics, constitutive relationships and quantum chemistry, cross-scaling studies, molecular dynamics of interfaces and new approaches in molecular dynamics. This workshop demonstrates a need for an interdisciplinary forum wherein many different issues crossing many scales and disciplinary boundaries can be discussed openly.     

Financial depth,internet penetration rates and economic growth: country-panel evidence

The article investigates causal relationships between internet penetration rates, financial depth and per capita economic growth in the Next-11 countries. Using panel vector autoregressive (VAR) approaches, our empirical results show that these variables are cointegrated. Moreover, we find bidirectional causality between internet penetration rates and economic growth, and between financial depth and economic growth in the short run.