Estimators of Influence Function

ABSTRACT

This article discusses estimators of influence function with some new counter-examples and tries to uphold their usefulness mathematically as well as through simulation. It is suggested that some estimators of influence function of uniformly Fréchet differentiable functional has more desirable properties.     

Parameter Estimation for First-Order Random Coefficient Autoregressive (RCA) Models Based on Kalman Filter

In this article, we propose a new estimate algorithm for the parameters of a first-order Random Coefficient Autoregressive (RCA) Model. This algorithm turns out to be very reliable in estimating the true parameter values of a given model. It combines quasi-maximum likelihood method, the Kalman filter algorithm, and the Powell's method. Simulation results demonstrate that the algorithm is viable and promising.     

Bayesian inference and prediction of the Rayleigh distribution based on ordered ranked set sampling

Based on ordered ranked set sample, Bayesian estimation of the model parameter as well as prediction of the unobserved data from Rayleigh distribution are studied. The Bayes estimates of the parameter involved are obtained using both squared error and asymmetric loss functions. The Bayesian prediction approach is considered for predicting the unobserved lifetimes based on a two-sample prediction problem. A real life dataset and simulation study are used to illustrate our procedures.     

Towards optimal regression estimation in sample surveys

The Montanari (1987) regression estimator is optimal when the population regression coefficients are known. When the coefficients are estimated, the Montanari estimator is not optimal and can be extremely volatile. Using design‐based arguments, this paper proposes a simpler and better alternative to the Montanari estimator that is also optimal when the population regression coefficients are known. Moreover, it can be easily implemented as it involves standard weighted least squares. The estimator is applicable under single stage stratified sampling with unequal probabilities within each stratum.     

Test for the equality of interclass correlation cofefficients under unequal family sizes for several populations

Large sample ANOVA test and likelihood ratio test have been Proposed to test for the equaiity of sevcrai iniraciass correlation coefiicients unier unequai family sizes based on several independent multinormal samples, it has been found on the basis of simulation study that the likelihood ratio test consistenily and reliably produced results superior to those of the large sample ANOVA test in terms of power for various combinations of intraclass correlatxon coefficient values.     

Asymptotic normality of a robust estimator of the regression function for functional time series data

We propose a family of robust nonparametric estimators for a regression function based on the kernel method. We establish the asymptotic normality of the estimator under the concentration property on small balls probability measure of the functional explanatory variable when the observations exhibit some kind of dependence. This approach can be applied in time series analysis to make prediction and build confidence bands. We illustrate our methodology on the US electricity consumption data.     

Optimal trajectory to the general equilibrium state of the unstable stochastic lattice gas of prey–predator model with pair-approximation

This paper focuses on the study of the optimal control problem of the unstable stochastic lattice gas of prey–predator model with pair-approximation. The Pontryagin minimum procedure is used to derive the optimal behaviour of the proposed system that makes it trajectory closer to its general equilibrium states with respect to a selected performance measure during a specified period of time T. Wide numerical simulations and illustrations are presented in graphs and tables.     

Learning from tradition: the planning of residential neighborhoods in a changing world

This paper analyses the community values of residential neighborhoods in the southwestern region of Saudi Arabia as an approach to a new theory in urbanism. The indigenous masterbuilders and tribemen incorporated planning decisions pertinent to climatic, cultural, social, economic and religious factors when designing physical elements in their built environment. This is what makes every traditional settlement in the southwest region of Saudi Arabia unique in terms of urban form and social structure. As a step to examining and evaluating the process of residential neighborhood development, three stages of practiced urbanism are discussed. These stages are labelled “vernacular”, “transitional” and “new vernacularism”. These are planning concepts used worldwide in the development of residential neighborhoods throughout history until the present. “New Vernacularism” is envisioned in this investigation as a design/planning objective implemented in most recently planned neighborhoods in Al-Horaidhah, Southwest Saudi Arabia. The achievement of successful urbanism underlies the political goals of urban planning practice. The Al-Horaidhah planning concept is conceived in the light of preservation of community values in neighborhood design/planning as a critical issue.The paper aims to investigate and reconcile the conflicts in the planning of residential neighborhoods in a changing world. The conflicts are restricted between retaining traditions of architecture, urban design and planning with the necessary social, economic, and technological changes in urban formation, mainly, the vernacular and modern. The paper illustrates the concept “New Vernacularism” by presenting Al-Horaidhah scheme as a model for community development in three administrative regions along the Red Sea coastline. “New Vernacularism” as a planning concept looks at the community development in Al-Horaidhah in the light of Sharicah, the Islamic Law and Customary norms by emphasizing the importance of the involvement of local residents in the planning process and gives suggestions of how this might best be achieved and later implemented into new communities.     

Labour Policy and Determinants of Employment and Wages in a Developing Economy with Labour Shortage

Using data from a sample of 1,099 workers, this paper investigates the determinants of employment and wages for workers in the United Arab Emirates. The paper further examines the wage distribution and the decomposition of the wage gap between the public and the private sectors. Results of the study are consistent with the dual labour market theory and indicate that the labour market in the United Arab Emirates is segmented based on sectors (public versus private) and types of workers (nationals versus non‐nationals). The study concludes with a discussion of the implication of these findings for the effectiveness of labour and economic policy.