A combination of exponential and half logistic failure rate model for reliability studies is paid much attention. An attempt is made to present the distributional properties, estimation of parameters , testing of hypothesis and the power of likelihood ratio criterion about the proposed model .

In this paper, we investigate the long run dynamics of the intraday range of the GBP/USD, JPY/USD and CHF/USD exchange rates. We use a non-parametric filter to extract the low frequency component of the intraday range, and model the cyclical deviation of the range from the long run trend as a stationary autoregressive process. We find that the long run trend is time-varying but highly persisten...

We propose a tractable and coherent framework that captures both conventional and unconventional monetary policies with the shadow fed funds rate. Empirically, we document the shadow rate’s resemblance to an overall financial conditions index, various private interest rates, the Fed’s balance sheet, and the Taylor rule. Theoretically, we demonstrate the impact of unconventional policies, such a...

Heart rate variability (HRV) is an important measure of sympathetic and parasympathetic functions of the autonomic nervous system and a key indicator of cardiovascular condition. This paper proposes a novel method to investigate HRV, namely by modelling it as a linear combination of Gaussians. Results show that three Gaussians are enough to describe the stationary statistics of heart variabilit...

Normal human heart rate shows complex fluctuations in time, which is natural, since heart rate is controlled by a large number of different feedback control loops. These unpredictable fluctuations have been shown to display fractal dynamics, long-term correlations, and 1/f noise. These characterizations are statistical and they have been widely studied and used, but much less is known about the...

Term structure models describe the evolution of the yield curve through time, without considering the influence of risk, tax, etc. Recently, uncertain processes were initialized and applied to option pricing and currency model. Under the assumption of short interest rate following uncertain processes, this paper investigates the term-structure equation. This equation is first derived for valuin...

A number of mortgage prepayment models require a specification of the mortgage rate process. In 2006, Citigroup published its MOATS model where the prepayment model was based on the endogenously defined mortgage rate process. MOATS was based on the “End of Finance” (EOF) assumption, which stated that the term for a new mortgage is 30 years or the rest of time until EOF (assumed to be in sixty y...

The properties of x-Exponantial Bathtub shaped failure rate model are discussed. Estimation process and failure rate behavior is explained.

An increasing number of real-time applications, related to multimedia and adaptive control systems, require greater flexibility than classical real-time theory usually permits. In this paper we present a novel periodic task model, in which tasks’ periods are treated as springs, with given elastic coefficients. Under this framework, periodic tasks can intentionally change their execution rate to...

The time-dependent freezing rate (TDFR) model here described represents the formation of ice particles by immersion freezing within an air parcel. The air parcel trajectory follows an adiabatic ascent and includes a period in time when the parcel remains stationary at the top of its ascent. The description of the ice nucleating particles (INPs) in the air parcel is taken from laboratory experim...