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Ronald W. Melicher, Financial Factors which Influence Beta Variations within an Homogeneous Industry Environment, The Journal of Financial and Quantitative Analysis, Vol. 9, No. 2 (Mar., 1974), pp. 231-241

Journal Article Correct Fixed-capital Replacement in Input-output Growth Models Get access W. F. Gossling W. F. Gossling University of East Anglia and West Virginia University Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 41, Issue 4, October 1974, Pages 525–531, https://doi.org/10.2307/2296702 Published: 01 October 1974

M. W. Jones-Lee, A Note on a Property of the Inverse of a Bordered Matrix and Its Implication for the Theory of Portfolio Selection, The Journal of Financial and Quantitative Analysis, Vol. 9, No. 6 (Dec., 1974), pp. 1081-1087

[This paper is concerned with "supergames" in which the action taken in a given time period by a player will affect the payoff to any other player in the subsequent period. A supergame consists of a set of players and a countable sequence of "ordinary" games. To illustrate "time-dependence," consider an economic market in discrete time. Say each firm must choose a price in each time period. This market has time-dependence if the amount demanded of a firm today is a function of the prices chosen today and of the prices chosen in the preceding period. Conditions are given for the existence of non-cooperative equilibria of two types: (i) steady state, in which the individual moves of the players converge over time to some s extasciicircum0 and (ii) balance temptation equilibria of the sort developed by Friedman [6] for games lacking time dependence.]

Many studies of k-class estimators have investigated their distributional properties (see Kadane [4], pp. 723-724 for a useful summary). Here we are concerned with the mathematical analysis of the k-class formulae rather than with their statistical analysis. Other work in this field includes Theil [10], pp. 233-237, Maeshiro [7], Oi [8] and Kadiyala [5]. In this paper we examine how the k-class estimator varies with k. We derive an expression from which the main features of the graph of a k-class estimator may be obtained and show that, except in a subspace of measure zero, the parameter estimates and their asymptotic standard errors become infinite for some value k1 that is common to the parameters of an equation whilst their ratios (the t-ratios) tend to zero.