Breaking bivariate records

On distribution of bivariate concomitants of records

Breaking records in the evolutionary race

We explore some aspects of the relationship between biological evolution processes and the mathematical theory of records. For Eigen’s quasispecies model with an uncorrelated fitness landscape, we show that the evolutionary trajectories traced out by a population initially localized at a randomly chosen point in sequence space can be described in close analogy to record dynamics, with two compl...

Breaking Fitness Records Without Moving: Reverse Engineering and Spoofing Fitbit

Tens of millions of wearable fitness trackers are shipped yearly to consumers who routinely collect information about their exercising patterns. Smartphones push this health-related data to vendors’ cloud platforms, enabling users to analyze summary statistics on-line and adjust their habits. Third-parties including health insurance providers now offer discounts and financial rewards in exchang...

Displaying Bivariate Data

Numerical techniques are too often designed to yield specific answers to rigidly defined questions. Graphical techniques are less confining. They aid in understanding the numerous relationships reflected in the data. They help reveal the existence of peculiar looking observations or subsets of the data. It is difficult to obtain similar information from numerical procedures. In this article, by...

Asymptotic Efficiencies of the MLE Based on Bivariate Record Values from Bivariate Normal Distribution

Abstract. Maximum likelihood (ML) estimation based on bivariate record data is considered as the general inference problem. Assume that the process of observing k records is repeated m times, independently. The asymptotic properties including consistency and asymptotic normality of the Maximum Likelihood (ML) estimates of parameters of the underlying distribution is then established, when m is ...