On the numerical evaluation of the maximum-likelihood estimate of mixture means

Starting with an n-dimensional variable whose density function is a convex combination of normal densities, the equations for a maximum-likelihood estimate are obtained. Iterative procedures for obtaining solutions to the likelihood equations are discussed along with conditions for local convergence

Some qualitative remarks on the variation of the probability of error

The qualitative behavior of the probability of misclassifying observations from two normally distributed populations as the classification regions are varied in a prescribed way is described in order to provide a preliminary generalization of the results obtained by Walton for the case of normally distributed observations with varying a priori probabilities

Developing country lending and current banking conditions

An examination of the evolutionary stages of the debt problem in developing countries, with a discussion of how U.S. banks and financial markets have adjusted to accommodate it and some proposed solutions to the problem.Debts, External ; Developing countries ; Loans, Foreign

The mean-square error optimal linear discriminant function and its application to incomplete data vectors

In many pattern recognition problems, data vectors are classified although one or more of the data vector elements are missing. This problem occurs in remote sensing when the ground is obscured by clouds. Optimal linear discrimination procedures for classifying imcomplete data vectors are discussed

The numerical evaluation of maximum-likelihood estimates of the parameters for a mixture of normal distributions from partially identified samples

Likelihood equations determined by the two types of samples which are necessary conditions for a maximum-likelihood estimate are considered. These equations, suggest certain successive-approximations iterative procedures for obtaining maximum-likelihood estimates. These are generalized steepest ascent (deflected gradient) procedures. It is shown that, with probability 1 as N sub 0 approaches infinity (regardless of the relative sizes of N sub 0 and N sub 1, i=1,...,m), these procedures converge locally to the strongly consistent maximum-likelihood estimates whenever the step size is between 0 and 2. Furthermore, the value of the step size which yields optimal local convergence rates is bounded from below by a number which always lies between 1 and 2

Lessons from the collapse of three state-chartered private deposit insurance funds

An analysis of the collapse of the Rhode Island Share and Deposit Indemnity Corporation, distinguishing the elements of failure and resolution that it shared with other large state-chartered deposit insurance funds--principally the Ohio and Maryland funds--from those that were unique to Rhode Island.Deposit insurance

History of and rationales for the Reconstruction Finance Corporation

An analysis of the lessons learned from the 1930s financial rescue mechanism, the Reconstruction Finance Corporation, and a comparison of its structure to that of today's Resolution Trust Corporation.Reconstruction Finance Corporation ; Resolution Trust Corporation (U.S.)

FDICIA's discount window provisions

A description of the evolution of supervisory policy toward failing banks over the past two decades, with particular emphasis on the modifications to Federal Reserve Banks' discount window administration as set forth by the Federal Deposit Insurance Corporation Improvement Act of 1991 (FDICIA).Federal Deposit Insurance Corporation Improvement Act of 1991 ; Discount window

Similarities and dissimilarities in the collapses of three state- chartered private deposit insurance funds

An analysis of the collapse of the Rhode Island Share and Deposit Indemnity Corp., focusing on distinguishing the elements of failure that it shared with other large state-chartered deposit insurance funds (principally the Ohio and Maryland funds) from those that were unique to Rhode Island.Deposit insurance

Aggressive uses of Chapter 11 of the Federal Bankruptcy Code

An examination of the aggressive uses of the corporate bankruptcy code from an economic and historical perspective, and some implications for economic competition in the United States.Bankruptcy