For several decades, economists have used the annual demand for trips in order to measure the nonmarket value of recreation sites. Two features of trip demand functions complicate their estimation: trip demand is nonnegative and occurs in integer quantities. The fact that trip demand cannot be negative results in a censored (at zero) data set; failure to account for censoring leads to biased es...

Bellemare et al. (2016) introduced the notion of a pseudo-count, derived from a density model, to generalize count-based exploration to nontabular reinforcement learning. This pseudocount was used to generate an exploration bonus for a DQN agent and combined with a mixed Monte Carlo update was sufficient to achieve state of the art on the Atari 2600 game Montezuma’s Revenge. We consider two que...

To appear in G.S. Maddala and C.R. Rao ed., Handbook of Statistics: Statistical Methods in Finance, NorthHolland. In some financial studies the dependent variable is a count, taking nonnegative integer values. Examples include the number of takeover bids received by a target firm, the number of unpaid credit installments (useful in credit scoring), the number of accidents or accident claims (us...

We give a model theoretic proof, replacing admisssible set theory by the LopezEscobar theorem, of Makkai’s theorem: Every counterexample to Vaught’s conjecture has an uncountable model which realizes only countably many Lω1,ω-types. The following two results are new. Theorem I. If a first order theory is a counterexample to the Vaught conjecture then it has 2א1 models of cardinality א1. Theorem...

background: in the case of sensitive questions such as number of alcoholics known, majority of respondents might give an answer of zero. poisson regression model (p) is the standard tool to analyze count data. however, p provides poor fit in the case of zero inflated counts, when over-dispersion exists. therefore, the questions to be addressed are to compare performance of alternative count reg...

Count-valued time series data are routinely collected in many application areas. We particularly motivated to study the count of daily new cases, arising from COVID-19 spread. First, we propose a Bayesian framework time-varying semiparametric AR(p) model for and then extend it more sophisticated INGARCH model. calculate posterior contraction rates proposed methods with respect average Hellinger...