Competing risks models in discrete time with nominal or ordinal categories of response

Two principle approaches to the modelling of competing risks in discrete time are considered. In the first approach which is based on the separation between failure and cause specific response only the causes of failure are considered as ordered. The second approach which is based on the conditional response given interval [a _t-1,a_r) is reached allows for an ordering of causes of failureand the category ‘no failure’. The latter approach is shown to be more general. It is shown that the considered competing risks models may be estimated within the framework of generalized linear models. A data set concerning duration of unemployment illustrates the approaches.     

Incompatibility Between Hazard- and Logistic-Regression in Modeling Survival Data with Multiple Causes of Failure

This paper examines the relationship between outcomes from separate hazard modeling of two competing risks and those based on hazard-modeling of the overall risk combined with logistic-regression on the conditional probability of the risk of interest. The formulation presented in this paper generializes for continuous time models and allows for non-categorical covariates. Our analytical results show that the two approaches are incompatible because they address different issues. Such a straightforward explanation of the incompatibility between the two approaches is expected to prompt investigators to focus on identifying situations of when the issue addressed by each approach may be of substantive interest.     

Exits from unemployment: Recall or new job

This paper studies transitions out of unemployment in Spain distinguishing between recall to the same employer and reemployment in a new job. We use a large sample of newly unemployed workers obtained from Social Security records for Spain. These data contain information about each individual's employer identity before and after the unemployment spell. A discrete-time duration model with competing risks of exits serves us to investigate the factors that influence the probabilities of leaving unemployment to return to the same employer or to find a new job with a different employer. We find that taking into account the route to exit unemployment helps us to understand the influence of individual and job characteristics on the hazard rate. Moreover, the recall hazard rate exhibits no duration dependence, whereas the new-job hazard rate presents positive duration dependence.     

Social networks and labor market transitions

We study the influence of social networks on labor market transitions. We develop the first model where social ties and job status coevolve through time. Our key assumption is that the probability of formation of a new tie is greater between two employed individuals than between an employed and an unemployed individual. We show that this assumption generally generates negative duration dependence of exit rates from unemployment. Our model has a number of novel testable implications. For instance, we show that a higher connectivity among unemployed individuals reduces duration dependence and that exit rates depend positively on the duration of the last job held by the unemployed worker.     

Using a Structural‐Form Model to Analyze the Impact of Home Ownership on Unemployment Duration

It is often found that the impact of home ownership on the hazard rate for leaving unemployment is positive, indicating that home ownership helps workers to leave unemployment for a paid job. However, little emphasis has been given to how such a relationship can be explained. This paper estimates a structural‐form model that allows for self‐selection into home ownership and the risk of home owners losing their property during a spell of unemployment. We find a substantial amount of self‐selection using indirect inference based on a mixed proportional hazards‐rate model and find virtually no impact of home ownership on individual labor market performance. Copyright © 2016 John Wiley & Sons, Ltd.     

Forecasting Macroeconomic Labour Market Flows: What Can We Learn from Micro‐level Analysis?

Forecasting labour market flows is important for budgeting and decision‐making in government departments and public administration. Macroeconomic forecasts are normally obtained from time series data. In this article, we follow another approach that uses individual‐level statistical analysis to predict the number of exits out of unemployment insurance claims. We present a comparative study of econometric, actuarial and statistical methodologies that base on different data structures. The results with records of the German unemployment insurance suggest that prediction based on individual‐level statistical duration analysis constitutes an interesting alternative to aggregate data‐based forecasting. In particular, forecasts of up to six months ahead are surprisingly precise and are found to be more precise than considered time series forecasts.     

DURATION DEPENDENCE VERSUS UNOBSERVED HETEROGENEITY IN TREATMENT EFFECTS: SWEDISH LABOR MARKET TRAINING AND THE TRANSITION RATE TO EMPLOYMENT

The effect of a treatment on the hazard rate of a duration outcome may depend on the elapsed time since treatment. In addition, treatment effects may be heterogeneous across agents. The former gives rise to duration dependence of the treatment effect, whereas unobserved heterogeneity gives rise to spurious duration dependence of the observable hazard rate. We develop a model allowing for duration dependence and unobserved heterogeneity in the treatment effect. The model incorporates a Timing of Events model and allows for selectivity on unobservables. We prove identification, exploiting variation in the timing of treatment and outcome. In the application we analyze the effects of the Swedish vocational employment training program on the individual transition rate from unemployment to work. We demonstrate the appropriateness of the approach by studying the enrollment process. The data cover the population and include multiple unemployment spells for many individuals. The results indicate a large, significantly positive effect on exit to work shortly after exiting the program. The effect at the individual level diminishes after some weeks. When taking account of the time spent in the program, the effect on the mean unemployment duration is small. Copyright © 2012 John Wiley & Sons, Ltd.     

SPECIFICATION TESTS FOR THE COMPETING RISKS DURATION MODEL: AN APPLICATION TO UNEMPLOYMENT DURATION AND SECTORAL MOVEMENT

ABSTRACTS This study develops three specification tests for the competing risks duration model. They include a general test for misspecification and specific tests for heterogeneity and defective risk distributions. The last two tests involves null hypotheses located on the boundary of the parameter space, and we consider alternative formulations of the score test to take account of this. The tests are applied to models of unemployment duration in which displaced job seekers may become re-employed in the pre-unemployment industry or switch industries.     

UNEMPLOYMENT,HUMAN CAPITAL DEPRECIATION,AND UNEMPLOYMENT INSURANCE POLICY

This paper presents a structural estimation of a life cycle model with unemployment risk. The model allows for human capital depreciation during unemployment. It is estimated using German and US household‐level data. The data suggest that the adverse impact of unemployment on individual productivity is important in both countries, but quantitatively more relevant in Germany. Moreover, simulations show that the combination of skill depreciation with the generous unemployment insurance system that was in place in Germany until recently is a key factor in explaining the differences in labour market performance between these countries. Copyright © 2012 John Wiley & Sons, Ltd.     

Entrepreneurship persistence with and without personnel: The role of human capital and previous unemployment

By considering entrepreneurs who hire employees (employers) and entrepreneurs without personnel (own-account workers) as related but distinct entrepreneurship groups, this work analyses factors in entrepreneurship survival from a new perspective: we contrast the determinants of employers’ survival with those affecting own-account workers’ survival. Discrete choice models under competing risks frameworks are applied to data drawn from the European Community Household Panel for the EU-15 (EUROSTAT). Our results suggest that survival chances are markedly higher for employers than for own-account workers—especially when non-employment exits are considered. We also observe that high qualifications have positive and statistically significant effects on survival rates of employers, regardless of exit routes, while high qualifications have no significant effect on survival rates of own-account workers. Finally, we find that entering entrepreneurship from unemployment—the target group for entrepreneurship incentives—strongly increases the probability of re-entering unemployment for both entrepreneurship groups. Thus, entrepreneurship and higher education policies should be considered together to develop high quality entrepreneurial businesses.     

PANEL PROBIT WITH FLEXIBLE CORRELATED EFFECTS: QUANTIFYING TECHNOLOGY SPILLOVERS IN THE PRESENCE OF LATENT HETEROGENEITY

In this paper, we introduce a Bayesian panel probit model with two flexible latent effects: first, unobserved individual heterogeneity that is allowed to vary in the population according to a nonparametric distribution; and second, a latent serially correlated common error component. In doing so, we extend the approach developed in Albert and Chib (Journal of the American Statistical Association 1993; 88 : 669–679; in Bayesian Biostatistics, Berry DA, Stangl DK (eds), Marcel Dekker: New York, 1996), and in Chib and Carlin (Statistics and Computing 1999; 9 : 17–26) by releasing restrictive parametric assumptions on the latent individual effect and eliminating potential spurious state dependence with latent time effects. The model is found to outperform more traditional approaches in an extensive series of Monte Carlo simulations. We then apply the model to the estimation of a patent equation using firm‐level data on research and development (R&D). We find a strong effect of technology spillovers on R&D but little evidence of product market spillovers, consistent with economic theory. The distribution of latent firm effects is found to have a multimodal structure featuring within‐industry firm clustering. Copyright © 2012 John Wiley & Sons, Ltd.     

Transitions to and From Self-employment in Spain: An Empirical Analysis

This paper investigates the influence of individual characteristics and the business cycle on the probability of entry into self-employment and on self-employment duration. We estimate multinomial logit and discrete competing risks models using data from a longitudinal sample of Spanish men for the period 1985–1991. The results indicate that unemployment raises the probability of entering self-employment, but also increases the hazard of leaving self-employment, especially into unemployment. Moreover, receiving unemployment benefits significantly reduces the probability of entering self-employment. Liquidity constraints are important in determining enterpreneurial selection, but only for those who become self-employed with employees.     

The impact of political risk on FDI exit decisions

Do political risks drive exit decisions by multinational companies (MNC)? What mechanisms can protect a multinational subsidiary in a host country that is characterized by weak institutions and high political risks? Using multinational plant-level data for Russia in the period 2000-2016 and applying the Cox proportional hazard model, we find significant effects from elevated host-country political risk when we compare the year of entry to the year of exit. MNCs are particularly sensitive to problems associated with law, order, and social conditions in Russia and the presence of the military in politics in the home country. Institutional similarity does not reduce the hazard of exits, and MNCs from high-risk countries exit less when home-country risk increases. Subsidiaries from countries that have imposed sanctions on Russia are less likely to exit, though sanctions interact with host-country risks, making them more severe. Being large and being part of a greenfield project help subsidiaries to build resistance against host-country political risks. These findings provide empirical evidence that support our conclusions regarding foreign direct investment volatility in countries with high risk.     

Do Labour Market Programmes Speed up the Return to Work?*

We evaluate the impact of labour market programmes on unemployment durations in Norway, by means of a distribution‐free mixed proportional competing risks hazard rate model. We find that programme participation, once completed, improves employment prospects, but that there is often an opportunity cost in the form of a lock‐in effect during participation. The average net effect of programme participation on the length of the job search period is found to be around zero. For participants with poor employment prospects, the favourable post‐programme effects outweigh the negative lock‐in effects.     

More on connections between Wishart and matrix GIG distributions

The paper is devoted to relations between the matrix GIG and Wishart distributions. Our basic tool in the first part is a version of the Matsumoto-Yor property for matrix variables. This approach covers the following issues: the Herz identity for the Bessel function of matrix variate argument, characterization of a class of Wishart matrices and linear transformations of the matrix GIG distribution. The Bayesian Wishart model, studied in the second part, gives an alternative definition of the matrix GIG distribution. Such a model is characterized by linearity of conditional expectations and matrix GIG conditional distribution. It is also extended to Bayesian matrix GIG models, in the framework of which an interesting independence property is proved.     

A Complete Decomposition of Unemployment Dynamics using Longitudinal Grouped Duration Data*

In this paper, we study the unemployment dynamics in the Belgian regions, Flanders and Wallonia, on the basis of aggregate stratified data covering the period 1973–93. We decompose the aggregate exit probability from unemployment into calendar time and, both observed and unobserved, compositional effects. We find that changes in the inflow composition affect the cyclical fluctuations in unemployment duration only marginally. However, the long‐run improvement in the quality of entrants into unemployment, notably in terms of educational attainment, mitigates the strong upward trend in this duration. This is a new result as none of the existing studies purges the trend in the aggregate outflow rate of the variation in its composition. We also conclude that in Belgium, incidence explains as much as 45% of the evolution of unemployment. Finally, the diverging evolution of unemployment across Flanders and Wallonia predominantly results from a stronger decline in the exit rates from unemployment in Wallonia.     

Censored latent effects autoregression,with an application to US unemployment

A model is proposed to describe observed asymmetries in postwar unemployment time series data. We assume that recession periods, when unemployment increases rapidly, correspond with unobserved positive shocks. The generating mechanism of these latent shocks is a censored regression model, where linear combinations of lagged explanatory variables lead to positive shocks, while otherwise shocks are equal to zero. We apply this censored latent effects autoregression to monthly US unemployment, where the positive shocks are found to be predictable using various leading indicators. The model fits the data well and its out‐of‐sample forecasts appear to improve on those from alternative models. Copyright © 2002 John Wiley & Sons, Ltd.     

Do Euro Area Countries Respond Asymmetrically to the Common Monetary Policy?

We investigate the possible existence of asymmetries among Euro Area countries reactions to the European Central Bank monetary policy. Our analysis is based on a Structural Dynamic Factor model estimated on a large panel of Euro Area quarterly variables. Although the introduction of the euro has changed the monetary transmission mechanism in the individual countries towards a more homogeneous response, we find that differences still remain between North and South Europe in terms of prices and unemployment. These results are the consequence of country‐specific structures, rather than of European Central Bank policies.     

The dynamic investment and exit decisions of venture capitals

This study develops a continuous time model to examine a complete two-stage decision process for venture capitals (VCs), including investment in the private market at Stage 1 and exit through IPO in the public market at Stage 2. Optimal timings, investment terms, and exit decisions are investigated using the real options game theory under two cases: the same required returns in the public and private markets and a higher required return in the private market than in the public market. Our results indicate that the same required returns in the public and private markets generate an optimal investment decision at Stage 1 without relation to the exit decision in Stage 2. However, when the required return in the private market is higher than that in the public market, the exit decision will influence the investment decision. The size of the initial capital, ownership structure, growth rate and risk of industry, required returns in public and private capital markets, extent of lock-up period price pressure, and transaction costs of financing are important factors influencing the equilibrium results.     

A Logit Model with Missing Information Illustrated by Testing for Hidden Unemployment in Transition Economies

In an important paper, Dempster, Laird and Rubin (1977) showed how the expectation maximization (EM) algorithm could be used to obtain maximum likelihood estimates of parameters in a multinomial probability model with missing information. This article extends Dempster, Laird and Rubin's work on the EM algorithm to the estimation of a multinomial logit model with missing information on category membership. We call this new model the latent multinomial logit (LMNL) model. A constrained version of the LMNL model is used to examine the issue of hidden unemployment in transition economies following the approach of Earle and Sakova (2000) . We found an additional 0.5% hidden unemployment among workers describing themselves as self‐employed in the transition economies of Central and Eastern Europe.