EMBEDDED MATRICES FOR FINITE MARKOV CHAINS

For an arbitrary subset A of the finite state space 5 of a Markov chain the so–called embedded matrix P _A is introduced. By use of these matrices formulas expressing all kinds of probabilities can be written down almost automatically, and calculated very easily on a computer. Also derivations can be given very systematically.     

STRATEGIC INVESTMENT DECISION-MAKING: COMPLEXITIES, POLITICS AND PROCESSES*

This article is a preliminary report on an investigation into the processes of investment decision-making. Three case studies from three firms are presented which show disparities in a number of aspects of process, for example, the length of time taken to arrive at a decision, the number and intensity of disagreements and uncertainties encountered. Data were collected for these cases through semi-structured interviewing from multiple informants in the three organizations, thereby permitting the use of analysis of variance techniques of the different perspectives given by informants. Perceptions of the effectiveness of the decisions were also gathered. One finding from the study is that the decisions with the lowest perceived effectiveness (in firm HE) also lost support from those involved in making the decision during the process, although the decision was eventually implemented. This decision also had the least agreement amongst informants as to the main sources of disagreements. Informants of all three decisions saw effect upon product quality and productivity, fit with business strategy and competitive position of the company as the most important factors to take into account in evaluating the decisions. In firm CG, however, there were disagreements as to how the investment should be evaluated. In the conclusions to the article a disucssion is given as to the nature of evaluation procedures in relation to the developing theory of information systems.     

HOW IDEOLOGIES SUPPLANT FORMAL STRUCTURES AND SHAPE RESPONSES TO ENVIRONMENTS

Observations of nineteen hospitals show how organizational ideologies are manifested and sustained by beliefs, stories, languages, and ceremonial acts. The data indicate that harmonious ideologies accompany simple structures, but that discordant ones accompany elaborate structures. Through their effects on people and structures, ideologies guide organizations’responses to external threats.     

Distribution-free tests for comparing several treatments with a control

Abstract  In this paper we propose distribution-free treatments versus control tests for the one- and two-way classifications. The null distribution properties are shown to be equivalent to those of well-known statistics for which critical values have been extensively tabled. Asymptotic relative efficiencies with respect to corresponding normal theory competitors are derived and optimal designs for the allocation of experimental units to the treatments and control are obtained.     

On the individual moving average inequality

Summary A very simple deduction of a recently treated inequality is presented and some variations on this proof, drawing together various properties, are discussed. Closure of moving average processes undermultiplication is also mentioned.     

ON THE FIRST–ORDER EFFICIENCY AND ASYMPTOTIC NORMALITY OF MAXIMUM LIKELIHOOD ESTIMATORS OBTAINED FROM DEPENDENT OBSERVATIONS

Abstract. In this paper we study the first–order efficiency and asymptotic normality of the maximum likelihood estimator obtained from dependent observations. Our conditions are weaker than usual, in that we do not require convergences in probability to be uniform or third–order derivatives to exist.
The paper builds on Witting and Nolle's result concerning the asymptotic normality of the maximum likelihood estimator obtained from independent and identically distributed observations, and on a martingale theorem by McLeish.     

Income distribution,economic structure and employment in South Africa

This paper discusses the impact of a redistribution of current income from the White to the Black population on the distribution of sectoral output, and total employment by means of a semi‐closed input‐output model.

The results show that a redistribution of current income towards Black households — which no doubt will have positive social and political repercussions — has a non‐negative effect on GDP and a definite positive effect on the performance of sectors with a high private consumption expenditure component, as well as on total employment.