Misunderstandings concerning income distribution policies

Summary In this essay in honour of Professor P. Hennipman the latter's clarity and precision of expression are chosen as an example of how to avoid misunderstanding of his publications. As counterexamples some twenty-odd misunderstandings are set out by the essay's author in the field of income distribution policies, ranging from that specific subject to the theory of economic policy, to economic science and to science as a whole. Several of these misunderstandings are due to the essay's author, while others seem to prevail either among the general public or among scientists.     

Exact moments of the sample autocorrelations from series generated by general arima processes of order (p, d, q), d=0 or 1

Formulae for the numerical computation of the first four exact moments of the sample autocorrelations, given a time series realisation from a general autoregressive moving average process of order (p, d, q) with d=0 or 1, are presented. The exact mean and variance of the sample autocorrelations are computed for various sample sizes and several time series models. The evaluated results are compared with those obtained from approximate formulae for the mean and variance of the sample autocorrelations. A specification of the numerical accuracy of the first two exact moments is included.     

On a probabilistic model of forecasting

One of the methods of studying complex objects is the construction of a mathematical model, containing such information about the object that is necessary to solve a definite problem connected with it.Mathematical modeling, based on the construction of models of various kinds can be used in forecasting. Let a forecasting object A(X) be described by vector X = (X₁, X₂,…,X_n) whose coordinates are parameters characterizing this object. The work presents a probabilistic model of forecasting and gives the example of a forecast of the object described by a set two parameters.     

A dynamic model of housing production

This paper derives the optimal development strategy for a housing producer with perfect foresight in a steady-state environment where dwellings deteriorate as they age. Under the assumption of zero demolition costs, the optimal strategy is an infinite sequence of identical buildings. Building abandonment is shown to be possible with positive demolition costs. A solution highlighting the model's spatial properties is computed using Cobb-Douglas functions.