An encompassing test for non-nested quantile regression models

We propose an encompassing test for non-nested linear quantile regression models and show that it has an asymptotic χ² distribution. It is also shown that the proposed test is a regression rank score test in a comprehensive model under conditional homogeneity. Our simulation results indicate that the proposed test performs very well in finite samples.     

A new test for deficit sustainability and its application to US data

In this paper, we define deficit sustainability by requiring formally that both the discounted debt vanish asymptotically and the undiscounted debt be bounded. Thus, a new necessary condition and a new testing procedure emerge. We propose a new test statistic and prove that its limiting distribution is standard normal, N(0, 1). Its finite- sample distribution differs from N(0, 1), however, mainly because it has fat tails, so we derive empirical critical values using simulations. Using the new test and United States (US) quarterly data, the conclusions of three earlier papers that fail to reject the sustainability of the US budget or current-account deficit are reversed.     

A simplified method of calculating the score test for serial correlation in multivariate models

In this paper we derive the Lagrange Multiplier test for the error process in a multivariate regression model being a first-order vector autoregressive process and show it is asymptotically equivalent to nR² from an auxiliary regression.     

A new score test for unit roots in heterogeneous panels — Residual likelihood approach

Using the marginal likelihood of the residual, we propose new score type unit root tests for heterogeneous panels. Our tests are more powerful than the t-bar test of Im et al. (2003) for panels with many cross-sectional units and short time spans.     

Further evidence on asymptotic tests for homogeneity and symmetry in large demand systems

The asymptotically equivalent Lagrange multiplier, likelihood ratio and Wald tests are compared when testing for homogeneity and symmetry. The need for size correction becomes apparent as does the superior performance of the LM test under H₀.     

Power issues when testing the Markov switching model with the sup likelihood ratio test using U.S. output

The likelihood ratio (LR) test statistic for the test of a linear AR(1) model against the alternative of a Markov switching model does not possess the standard χ² distribution. Garcia (1998) derives the asymptotic distribution of the Sup LR test statistic under these non-standard conditions allowing the researcher to easily compare the two models. This paper examines the power properties of this test statistic using Monte Carlo experiments calibrated to U.S. output growth data. The results suggest a test of reasonable power. When the experiments are calibrated to annual data, power is 82% at 200 observations. When the experiments are calibrated to quarterly data power is 57% for the same sample size. First Version Received: March 2000/Final Version Received: March 2001     

Poverty Traps, Indeterminacy, and the Wealth Distribution

We consider a one-sector growth model in continuous time with a production externality and endogenous labor supply. There is a continuum of households who have identical preferences but differ with respect to their initial wealth. We show that there exist economies such that an indeterminate steady state exists for some wealth distribution but not for others. A second result is that a redistribution of wealth may drive the economy from a steady state with strictly positive output to a poverty trap in which output converges asymptotically to zero. These results indicate that differences in the wealth distribution may be responsible for drastic differences in the long-run standard of living. Journal of Economic Literature Classification Numbers: D31, D50, O41.     

Stochastic Unit Roots in the Capital Asset Pricing Model?

Evidence is provided in this article for the existence of a stochastic unit root (STUR) in a proxy for the US risk‐free interest rate, in preference to a standard fixed unit root. The implications of the existence of the STUR, on estimating and testing the capital asset pricing model, are also examined through simulations. The effects of the STUR in the risk‐free interest rate, on conducting unit root tests for excess market returns and estimating the betas of assets, are found to be qualitatively similar to those of the standard (fixed) unit root. Thus, this article confirms the conjecture of Markellos and Mills (2001 , Applied Economics Letters, 8, pp. 499–502) on the risk‐free interest rate following near‐integrated processes, at least for a STUR.     

Obtaining any Wald statistic you want

While the Wald test can be used to test a non-linear hypothesis in a linear or non-linear regression model it is known that a particular hypothesis can be written in many ways when non-linear forms are permitted. This paper illustrates that it is possible to obtain virtually any value of the Wald statistic at different significance levels. It is also shown that in small samples the use of the χ² or F approximation for the distribution of the Wald statistic can be misleading for some forms of the non-linear Wald test.     

Computation of search duration probabilities and the integral of the normal distribution function

The constraction of likelihood functions for data on individuals assumed to be sampling from a price distribution and operating a reservation price policy involves calculation of the probability that their duration of search exceeds, say, t periods, P( T > t). In this note we show how this calculation can be simply done by (a) working in continuous time, and (b) using a result on the integral of the Normal distribution function. We then use the result to study some properties of the model.     

On the Cultural Transmission of Corruption

We provide a cultural explanation to the phenomenon of corruption in the framework of an overlapping generations model with intergenerational transmission of values. We show that the economy has two steady states with different levels of corruption. The driving force in the equilibrium selection process is the education effort exerted by parents which depends on the distribution of ethics in the population and on expectations about future policies. We propose some policy interventions which via parents' efforts have long-lasting effects on corruption and show the success of intensive education campaigns. Educating the young is a key element in reducing corruption successfully. Journal of Economic Literature Classification Numbers: D10, J13.     

Modified Quasi‐Likelihood Ratio Test for Regime Switching

In this paper we propose a modified quasi‐likelihood ratio test of the null hypothesis of one regime against the alternative of two regimes in Markov regime‐switching models. The asymptotic distribution of the proposed test statistic is a simple function of Gaussian random variables, and the inference is no more complicated than in the standard case. Our simulations show that the proposed test has good finite sample size and power that are comparable to the quasi‐likelihood ratio test of Cho and White. We apply our test to stock returns and Japanese policy functions.     

The communication requirements of efficient allocations and supporting prices

We show that any communication finding a value-maximizing allocation in a private-information economy must also discover supporting prices (in general personalized and nonlinear). In particular, to allocate L indivisible items between two agents, a price must be revealed for each of the 2^L-1 bundles. We prove that all monotonic prices for an agent must be used, hence exponential communication in L is needed. Furthermore, exponential communication is needed just to ensure a higher share of surplus than that realized by auctioning all items as a bundle, or even a higher expected surplus (for some probability distribution over valuations). When the utilities are submodular, efficiency still requires exponential communication (and fully polynomial approximation is impossible). When the items are identical, arbitrarily good approximation is obtained with exponentially less communication than exact efficiency.     

Prices, Delay, and the Dynamics of Trade

We characterize the dynamics of trading patterns and market composition when trade is bilateral, finding a trading partner is costly, prices are determined by bargaining, and preferences are private information. We show that equilibrium is inefficient and exhibits delay as sellers price discriminate between buyers with different values. As frictions vanish, transaction prices are asymptotically competitive and the welfare loss of inefficient trading approaches zero, even though the trading patterns continue to be inefficient and delay persists. Journal of Economic Literature Classification Numbers: D40, D50.     

Choice and individual welfare

We propose an abstract method of systematically assigning a “rational” ranking to non-rationalizable choice data. Our main idea is that any method of ascribing welfare to an individual as a function of choice is subjective, and depends on the economist undertaking the analysis. We provide a simple example of the type of exercise we propose. Namely, we define an individual welfare functional as a mapping from stochastic choice functions into weak orders. A stochastic choice function (or choice distribution) gives the empirical frequency of choices for any possible opportunity set (framing factors may also be incorporated into the model). We require that for any two alternatives x and y, if our individual welfare functional recommends x over y given two distinct choice distributions, then it also recommends x over y for any mixture of the two choice distributions. Together with some mild technical requirements, such an individual welfare functional must weight every opportunity set and assign a utility to each alternative x which is the sum across all opportunity sets of the weighted probability of x being chosen from the set. It therefore requires us to have a “prior view” about how important or representative a choice of x at a given situation is.     

The information matrix test: Simplified calculation via a score test interpretation

In Chesher (1982) I show that the Information Matrix test introduced by White (1982) is a score test for parameter constancy. In this letter I show that this result leads to a simple computational procedure for calculating the Information Matrix test. The procedure involves computing, for a sample of n observations, n times the R² from the least squares regression of a column of ones on a matrix whose elements are functions of 1st and 2nd derivatives of the log density function.     

The impact of the Paasche-Laspeyres choice upon econometric results

Does it make any difference to econometric results whether ones uses the Laspeyres or Paasche index? In general, the divergence between these two is small, suggesting that index choice makes little difference to econometric results. We estimate 72 Malthusian models and because the Paasche and Laspeyres indices we use show below average divergence, these reslts should be conservative. We find that parameters differ substantially, that parameter signs can be reversed, thatr ²s change markedly and that hypothesis test results are reversed. These findings indicate the importance of estimating exact indices.     

A moving blocks empirical likelihood method for panel linear fixed effects models with serial correlations and cross-sectional dependences

To simultaneously deal with serial correlations and cross-sectional dependences for a panel linear fixed effects model, we propose a new approach based on an extended score vector and a moving blocks empirical likelihood method. Large sample properties of the proposed method are studied. Simulation results show that the new method works well under the situations of either strong or weak cross-sectional dependences, and the method performs better than the methods in Gonçalves (2011) and Vogelsang (2012). The proposed method is also applied to an application in carbon emission, and the results show that urbanization has a significant effect on carbon emission. Moreover, the effect varies in different stage of urbanization.     

Conflict among testing procedures?

This paper demonstrates that under certain conditions the Lagrange Multiplier test provides a better approximation to the asymptotic X² distribution than the more familiar Wald and Likelihood Ratio tests.