A method for calculating changes in regression coefficients and inverse matrices corresponding to changes in the set of available data

Abstract

Extract

When we have made a regression analysis, for instance on the basis of time series, it is often of interest to know how the results would change if we take into account observations made later on. Because it seems that the whole work of solving the normal equations must be made over again, we seldom continue the calculations by taking into account later information. It is, however, easy to find the adjustments required by a method developed in this article. It is possible to get time series showing the development of the regression coefficients without formidable work. We can in this way get a deeper insight in the problem to be studied than by making the regression analysis only once for all. If the purpose of the regression analysis is to obtain formulas to be used for forecasting, time series of regression coefficients give a better starting point than if we only have regression coefficients for a certain period.     

On the first passage time processes of brownian motion with positive drift

Abstract

The first passage time processes of Brownian Motion with positive drift are of considerable importance, particularly in life-testing or life-time situation as a natural consequence. It has been used in sequential analysis, e.g. finding the best test for testing the hypothesis of no drift versus the alternative of positive drift in a Brownian Motion. Various properties of the first passage time process of Brownian Motion with positive drift are reviewed and several new properties are investigated. In short, γ-variation properties, characterization, and behaviour at infinity are discussed.     

Exit as Governance: An Empirical Analysis

Recent theory posits a new governance channel available to blockholders: threat of exit. Threat of exit, as opposed to actual exit, is difficult to measure directly. However, a crucial property is that it is weaker when stock liquidity is lower and vice versa. We use natural experiments of financial crises and decimalization as exogenous shocks to stock liquidity. Firms with larger blockholdings experience greater declines (increases) in firm value during the crises (decimalization), particularly if the manager's wealth is sensitive to the stock price and thus to exit threats. Additional tests suggest exit threats are distinct from blockholder intervention.     

The Differential Value Relevance of S&P's Core Earnings Versus GAAP Earnings: The Role of Stock Option Expense

In 2002, Standard & Poor's (S&P) introduced Core Earnings as a proprietary, uniform earnings metric, with the goal of improving financial reporting. The distinguishing feature of Core Earnings is its consistent treatment of seven adjustments to GAAP earnings for which there is no consensus adjustment by managers and analysts. We use stock price and return data to assess whether investors perceive Core Earnings to be more value relevant than GAAP earnings. The implementation of FASB 123R changed the calculation of GAAP and Core Earnings. This change allows us to assess the role of stock option expense in the valuation of earnings numbers by partitioning the sample into pre‐ and post‐FASB 123R periods and creating consistent measures of GAAP and Core Earnings. Our price results indicate that Core Earnings is more value relevant than GAAP earnings in the pre‐period after controlling for stock option expense, and in the post‐FASB 123R periods. The price results provide empirical evidence consistent with S&P's expectation that a uniformly calculated earnings measure is a more consistent and useful indicator of current performance and future earnings.     

On de-seasonalising adjusted-average formulae

The techniques of Borgan (1979) are extended to cover data with seasonal variations. Examples are given, and it is suggested that the formulae presented here give smoother results than those traditionally employed to deal with economic time series subject to seasonal variations.     

The performance of insolvency prediction and credit risk models in the UK: A comparative study

Theoretically-driven, market-based contingent claims models have recently been applied to the field of corporate insolvency prediction in an attempt to provide the art with a theoretical methodology that has been lacking in the past. Limited studies have been carried out in order directly to compare the performance of these models with that of their accounting number-based counterparts. We use receiver operating characteristic curves to assess the efficacy of thirteen selected models using, for the first time, post-IFRS UK data; and investigate the distributional properties of model efficacy. We find that the efficacy of the models is generally less than that reported in the prior literature; but that the contingent claims models outperform models which use accounting numbers. We also obtain the counter-intuitive finding that predictions based on a single variable can be as efficient as those which are based on models which are far more complicated – in terms of variable variety and mathematical construction. Finally, we develop and test a naïve version of the down-and-out-call barrier option model for insolvency prediction and find that, despite its simple formulation, it performs favourably compared alongside other contingent claims models.     

Advance Notice and Job Search: More on the Value of an Early Start

This paper investigates the effects of advance notice of impending job loss on the length of jobless spells of displaced workers. We evaluate the performance of a formal search model and offer a generalization of the model that provides an alternative but related approach to the most recent empirically based literature. Evidence of gains from early search are found for all broad gender-occupation groups except blue-collar males.     

Examining the impact of information technology and patient flow on healthcare performance: A Theory of Swift and Even Flow (TSEF) perspective

The impact of information technologies on manufacturing operations and performance is well established. However, scant research has been devoted to examining information technology (IT) investment among hospitals and how it influences patient care and financial performance. Using the lens of the Theory of Swift Even Flow (TSEF), we present an operations management-based perspective on the effect of IT in streamlining hospital operations. Specifically, we examined the role of IT on patient flow and its consequences for improved hospital efficiency and performance.     

The new ecological paradigm and responses to climate change in China

The purpose of this study was to develop and evaluate a Chinese-Mandarin version of the revised new ecological paradigm (NEP-R) scale. In a sample of 515 Mandarin-speaking Chinese nationals, we first assessed the factor structure and internal consistency of the NEP-R and assessed its validity by examining associations with global warming risk perceptions and mitigation behavior. Respondents completed the NEP-R scale, together with measures of risk perception and mitigation behavior. Exploratory and confirmatory factor analyses indicated that a two-factor solution, reflecting ecocentric and anthropocentric worldviews, best fit the data. Multi-group path analysis revealed that respondents with stronger ecocentric and weaker anthropocentric worldviews perceived more risks associated with global warming. In turn, respondents who perceived more risks reported engaging in more global warming mitigation behaviors. But importantly, the path between risk perceptions and behavior was significantly stronger for highly educated respondents than for less educated respondents, suggesting that education may represent an important strategy for bridging the gap between perceived risks about global warming and action.     

Taxes and the acquisition of depreciable assets: The Tax Reform Act of 1986 and the alternative minimum tax

Analysis of firm investment behavior during 1982–1993 shows that the Tax Reform Act of 1986 (TRA 86) Public Law No. 99-514 substantially affects both purchases and leases of depreciable assets. The changes in the regular corporate income tax rules are shown to lower asset acquisition. The effect of the alternative minimum tax (AMT) is found to vary with the debt share in firms’ capital structure and with the frequency of AMT exposure during the life of the assets acquired. On average, TRA86 depresses asset purchases less for firms that are subject to the AMT: AMT somewhat mitigates the negative effects of the regular tax rules.