A note on information theoretic measures

An axiomatic characterization of an information theoretic quantity is given using only two axioms. In particular, this quantity contain PEARSON'S chi-square statistic and some other useful measures     

A Note on Window Length Selection in Singular Spectrum Analysis

In singular spectrum analysis (SSA) window length is a critical tuning parameter that must be assigned by the practitioner. This paper provides a theoretical analysis of signal–noise separation and time series reconstruction in SSA that can serve as a guide to optimal window choice. We establish numerical bounds on the mean squared reconstruction error and present their almost sure limits under very general regularity conditions on the underlying data generating mechanism. We also provide asymptotic bounds for the mean squared separation error. Evidence obtained using simulation experiments and real data sets indicates that the theoretical properties are reflected in observed behaviour, even in relatively small samples, and the results indicate how, in practice, an optimal assignment for the window length can be made.     

Globalization and the Quality of Government: an Analysis of the Relationship

This research seeks to investigate the relationship between globalization and the quality of government. By using the Quality of Government Institute data, the paper analyzes the relationships between globalization and the government quality. The paper uses both KOF scores and the scores by the Heritage Foundation to measure globalization. The results show that economic and political globalization is a significant predictor of the quality of government. When all the variables on economic freedom are taken into consideration, fiscal, business and trade freedoms are critical factors influencing the quality of governance.     

Local Support Organisations: An Exit Strategy for Rural Development NGOs

Rural development NGOs are often trapped into indefinite support for the grassroots organisations they help to create. This article explores an exit strategy whereby such NGOs help to establish multi‐tier apex organisations of, rather than for, the people, that are able to replace them. This enables them to move on to other communities or to address their resource constraints as donor funding becomes tighter. Drawing on fieldwork, it argues that a gradual withdrawal and building on community social capital are more likely to lead to the success of such a strategy.     

Transmuted Weibull distribution: Properties and estimation

In this article, we investigate the potential usefulness of the three-parameter transmuted Weibull distribution for modeling survival data. The main advantage of this distribution is that it has increasing, decreasing or constant instantaneous failure rate depending on the shape parameter and the new transmuting parameter. We obtain several mathematical properties of the transmuted Weibull distribution such as the expressions for the quantile function, moments, geometric mean, harmonic mean, Shannon, Rényi and q-entropies, mean deviations, Bonferroni and Lorenz curves, and the moments of order statistics. We propose a location-scale regression model based on the log-transmuted Weibull distribution for modeling lifetime data. Applications to two real datasets are given to illustrate the flexibility and potentiality of the transmuted Weibull family of lifetime distributions.     

Comparison of Some Mrpp and Standard Rank Tests for Two Unequal Samples

MRPP rank tests for two subgroups of unequal size are studied in detail. Based on the Pearson criteria, appropriate Pearson curves are suggested for their approximate distributions. On the basis ot extensive simulations, empirical powers of these tests are compared among themselves and with some standard nonparametric tests for several underlying populations.     

ß-expectation tolerance region for the heteroscedastic multiple regression model with multivariate Student-t error

A ß-expectation tolerance region has been constructed for the multivariate regression model with heteroscedastic errors which follow a multivariate Student-t distribution with an unknown number of degrees of freedom. The ß-expectaion tolerance region obtained in this paper is optimal in the sense of having minimum enclosure among all such tolerance regions that guarantees that it would cover any preassigned proportions, namely, ß×100 percent of the future responses from the model.     

Managerial Responses to Online Reviews: A Text Analytics Approach

This study tests the effects of online managerial responses and returning customers’ future satisfaction (measured as review ratings) by performing social media text analytics on a hotel sample. Essentially, this paper provides insight into meaningful differences in future ratings between responding and non‐responding hotels, as well as differences in response styles between ratings improvement and non‐improvement. The results indicate that: (1) subsequent ratings are higher if customers receive responses to their previous online reviews; (2) increase in ratings is more significant among low‐satisfaction customers, and a decrease in ratings is mitigated if responses are provided; (3) responding to loyal customers – those who have visited and rated the same hotel more than three times – has a limited impact on ratings; (4) responses are longer and sentiment is slightly lower in scenarios where subsequent ratings are improved, but there is no significant difference in the effect of response speed between the two groups; (5) changes in ratings also affect styles of responding to current reviews – if customer satisfaction has improved, response length tends to be shorter and sentiment level tends to be higher. The findings offer both theoretical and managerial implications by demonstrating the utility of social media text analytics.     

Designing of a control chart using belief statistic for exponential distribution

A new control chart is proposed by using the belief statistic for the exponential distribution. The structure of the proposed control chart is given to measure the average run length for the shifted process. The comparison of the proposed chart is given with the existing charts in terms of the average run lengths, which shows the outperformance of the proposed chart. The performance of the proposed control chart is also discussed with the help of simulated data.