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.     

Remarks on sequential estimation of a linear function of two means: The normal case

Asymptotic normality of the stopping time ofMukhopadhyay [1976] relating to the point estimation problem is proved. Also moderate sample size behaviour of this stopping time has been studied by Monte-Carlo methods.     

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.     

Health and development∗

The linkage between development and health is clearly spelt out in the definition of primary health care by the World Health Organisation. There is a widespread and growing disillusionment with the traditional Western approach to health care which fails to meet the real demands of the Third World situation.

This paper looks briefly at conditions in the developing world and the strategy proposed by the W H O to attempt to meet the objective of health for all by the year 2000 and refers to the South African situation.