This paper is concerned with probability density estimation in high-dimensional settings. Simplified geometric arguments and supporting examples point to a performance bound which limits algorithm performance to that of either (1) nearest-neighbor or (2) single-kernel PDF estimators. A method of monitoring PDF estimation performance as well as recommendations for neural net and classification a...

Unimodal distribution or a clearly bimodal distribution, depending on the means. The upper limit of the probability density axis in the PDF plot is adjusted by.family of distributions generated by fixing H Φ and letting g be any symmetric pdf. More generally, there has been a number of works exploring bimodality.

An expression for probability density function ( pdf ) of a K – out – of N : G system is proposed. A simple, fast and memory efficient recursive algorithm computes the pdf of K – out – of N : G system with unequal component failure probabilities. The special cases of constant failure rate, Weibull failure time distributions are provided for illustrating the results.

When a probability density function (pdf) is to be formed on the basis of incomplete information, the “maximum missing information” (mmi) pdf (Jaynes. Phys. Reo. 106, 62M30, 1957) is theoretically preferable. We compare the performance of Lagrangian stochastic (LS) models of vertical dispersion in the convective boundary layer. satisfying Thomson’s (J. Fluid Mech. 180,529-556, 1987) well-mixed ...

In this report, the explicit probability density functions of the random Euclidean distances associated with regular hexagons are given, when the two endpoints of a link are randomly distributed in the same hexagon, and two adjacent hexagons sharing a side, respectively. Simulation results show the accuracy of the obtained closed-form distance distribution functions, which are important in a wi...

We study the problem of clustering uncertain objects whose locations are uncertain and described by probability density functions (pdf). We analyze existing pruning algorithms and experimentally show that there exists a new bottleneck in the performance due to the overhead of pruning candidate clusters for assignment of each uncertain object in each iteration. In this article, we will show that...

We report that the power driving gravity and capillary wave turbulence in a statistically stationary regime displays fluctuations much stronger than its mean value. We show that its probability density function (PDF) has a most probable value close to zero and involves two asymmetric roughly exponential tails. We understand the qualitative features of the PDF using a simple Langevin-type model.

Methods for calculating bit error rate (BER) using probability density function (PDF) of impairments (ISI, crosstalk, jitter etc.) have been studied and presented in the past. These approaches calculate PDF of the signal & impairments at the decision point based on linear system analysis and deduce the BER from tail probability. A typical high speed system also has significant non linearity in ...

Finite size scaling in the solar wind magnetic field energy density as seen by WIND Abstract. Statistical properties of the interplanetary magnetic field fluctuations can provide an important insight into the solar wind turbulent cascade. Recently, analysis of the Probability Density Functions (PDF) of the velocity and magnetic field fluctuations has shown that these exhibit non-Gaussian proper...