Cox proportional hazards model is considered. In Kukush et al. (2011), Journal of Statistical Research, Vol. 45, No. 2, 77–94 simultaneous estimators $\lambda _{n}(\cdot )$ and $\beta _{n}$ of baseline hazard rate $\lambda (\cdot )$ and regression parameter β are studied. The estimators maximize the objective function that corrects the log-likelihood function for measurement errors and censoring. Parameter sets for $\lambda (\cdot )$ and β are convex compact sets in $C[0,\tau ]$ and ${\mathbb{R}}^{k}$, respectively. In present paper the asymptotic normality for $\beta _{n}$ and linear functionals of $\lambda _{n}(\cdot )$ is shown. The results are valid as well for a model without measurement errors. A way to compute the estimators is discussed based on the fact that $\lambda _{n}(\cdot )$ is a linear spline.
In this paper we define the consistent criteria of hypotheses such as the probability of any kind of errors is zero for given criteria. We prove necessary and sufficient conditions for the existence of such criteria.
Over the past several years, as the development of Internet, social media websites such as Twitter and Weibo have received much attention due to their enormous users. A lot of research has been done on sentiment analysis and opinion mining in these websites. However the number of research on using the data in the social media websites to predict the stock market price movement is limited. Behavioral economics and behavioral finance believe that public mood is correlated with economic indicators and financial decisions are significantly driven by emotions. This paper first presents a Chinese emotion mining approach and discusses whether the public emotions or opinions in the Chinese social media websites could be used to predict the stock market price in China. The experimental results demonstrate that the emotions automatically extracted from the large scale Weibo posts represent the real public opinions about some special topics of the stock market in China. Some public mood states extracted such as the “Happiness” and “Disgust” states are highly correlated with the change of stock price according to the Granger causality analysis. Finally, a nonlinear autoregressive model with exogenous sentiment inputs is proposed to predict the stock price movement.
The rapid development of internet and technologies in the 21th century is providing an opportunity for the development of digital democracy – citizen engagement in the decision-making process in an easier, faster and more contemporary way. The paper analysis Latvian public administration’s attitude to the development of digital democracy in Latvia, looking into digital engagement as a possible solution that could foster the low rates of civic and political participation in Latvia. Research methods of the paper consists of an analysis of academic publications on digital democracy and political engagement, and survey to the representatives of the public administration in Latvia. Conclusions of the paper suggest that there are good preconditions for the development of digital democracy in Latvia, however, there is a need for a common regulation for how digital communication and online participation is coordinated. Public institutions should pay more attention to Latvian youth, educating them about public administration and political engagement, thus ensuring that gradually Latvian citizens become more knowledgeable about advantages and necessity to participate in the decision-making process of public administration in Latvia.
Pension systems have become one of the main priorities for the national governments. Developed countries population is getting older by putting the pressure on the state budgets and work age people tax load. The current pension system in Latvia performs according to regulation of state compulsory unfunded pension scheme since 1996 and regulation of the state funded or accumulated pension scheme since 2001. The third pension system pillar is private voluntary pension schemes realized in form of people contributions into pension funds and life insurance policies. Aim of the research – deeper analyses of voluntary private investments as the
Katarzyna Hochstadt of Telnicz (Moravia) is known as the mistress of Sigismund the Old, mother of his illegitimate children: bishop of Vilnius John of the Lithuanian Dukes, Regina Szafraniec, and Katarzyna Montfort, and wife of Andrzej Kościelecki, castellan of Wojnicz and sub-treasurer of the Crown of Poland. Little is known about her true personality, with the exception of the universally emphasized fact of her being a genuine beauty and the mother and grandmother of beauties. As the legend has it, Katarzyna was an enchantress, a witch, a woman who intruded where she was not supposed to. The few preserved sources suggest of a more subtle picture: a woman of an unknown descent in the higher society that was strange to her was in fact dependent on the grace of men – her lover, her spouse or her son. Katarzyna, however, managed to exercise her influence as she accumulated certain wealth and formed a circle of her clients.