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This paper proposes an extension to discrete Phase-Type distributions (DPH) by introducing random rewards. These allow for modeling a system in which a visit to a certain state does not emit a deterministic reward. Instead, the rewards…

Methodology · Statistics 2026-04-22 Simon Pauli , Andreas Futschik

In this paper, we consider the relationship between phase-type distributions and positive systems through practical examples. Phase-type distributions, commonly used in modelling dynamic systems, represent the temporal evolution of a set of…

Methodology · Statistics 2024-08-20 Luz Judith Rodríguez Esparza , Fernando Baltazar Larios

In reliability theory and survival analysis, the residual entropy is known as a measure suitable to describe the dynamic information content in stochastic systems conditional on survival. Aiming to analyze the variability of such…

Statistics Theory · Mathematics 2020-03-25 Antonio Di Crescenzo , Luca Paolillo

Modeling is a challenging topic and using parametric models is an important stage to reach flexible function for modeling. Weibull distribution has two parameters which are shape $\alpha$ and scale $\beta$. In this study, bimodality…

Methodology · Statistics 2020-12-03 Roberto Vila , Mehmet Niyazi Çankaya

A new unimodal distribution family indexed by the mode and three other parameters is derived from a mixture of a Gumbel distribution for the maximum and a Gumbel distribution for the minimum. Properties of the proposed distribution are…

Methodology · Statistics 2024-07-02 Qingyang Liu , Xianzheng Huang , Haiming Zhou

Large-scale integration of emerging nanoscale non-volatile memory devices, e.g. resistive random-access memory (RRAM), can enable a new generation of neuromorphic computers that can solve a wide range of machine learning problems. Such…

Emerging Technologies · Computer Science 2016-12-20 Xinyu Wu , Vishal Saxena

Resistive memories (RRAM) are promising candidates for replacing present nonvolatile memories and realizing storage class memories; hence resistance switching devices are of particular interest. These devices are typically memristive, with…

Applied Physics · Physics 2025-02-06 N Vasileiadis , P Loukas , A Mavropoulis , P Normand , I Karafyllidis , G Ch Sirakoulis , P Dimitrakis

Compute in-memory (CIM) is a promising technique that minimizes data transport, the primary performance bottleneck and energy cost of most data intensive applications. This has found wide-spread adoption in accelerating neural networks for…

Signal Processing · Electrical Eng. & Systems 2021-02-16 Brian Crafton , Samuel Spetalnick , Arijit Raychowdhury

It is known that in some cases a Random Access Machine (RAM) benefits from having an additional input that is an arbitrary number, satisfying only the criterion of being sufficiently large. This is known as the ARAM model. We introduce a…

Computational Complexity · Computer Science 2013-10-18 Michael Brand

The effective Hamiltonian formalism is extended to vectorial electromagnetic waves in order to describe statistical properties of the field in reverberation chambers. The latter are commonly used in electromagnetic compatibility tests. As a…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 J. -B. Gros , U. Kuhl , O. Legrand , F. Mortessagne

We extend collisional quantum thermometry schemes to allow for stochasticity in the waiting time between successive collisions. We establish that introducing randomness through a suitable waiting time distribution, the Weibull distribution,…

Quantum Physics · Physics 2021-12-15 Eoin O'Connor , Bassano Vacchini , Steve Campbell

In reliability and life data analysis, the Weibull distribution is widely used to accommodate more data characteristics by changing the values of the parameters. We frequently observe many zeros or close to zero data points in reliability…

Methodology · Statistics 2022-06-06 Sumangal Bhattacharya , Ishapathik Das , Muralidharan Kunnummal

Resistance switching devices are of special importance because of their application in resistive memories (RRAM) which are promising candidates for replacing current nonvolatile memories and realize storage class memories. These devices…

Rhe Fast Radio Burst FRB121102 has been observed to repeat in an irregular fashion. Using published timing data of the observed bursts, we show that Poissonian statistics are not a good description of this random process. As an alternative…

High Energy Astrophysical Phenomena · Physics 2018-05-17 Niels Opperman , Hao-Ran Yu , Ue-Li Pen

The slow processes of metastable stochastic dynamical systems are difficult to access by direct numerical simulation due the sampling problem. Here, we suggest an approach for modeling the slow parts of Markov processes by approximating the…

Mathematical Physics · Physics 2012-12-03 Frank Noé , Feliks Nüske

Sub/Near-threshold static random-access memory (SRAM) design is crucial for addressing the memory bottleneck in energy-constrained applications. However, the high integration density and reliability under process variations demand an…

Hardware Architecture · Computer Science 2022-02-25 Shan Shen , Peng Cao , Ming Ling , Longxing Shi

The fracture strength distribution of materials is often described in terms of the Weibull law which can be derived by using extreme value statistics if elastic interactions are ignored. Here, we consider explicitly the interplay between…

Statistical Mechanics · Physics 2014-10-16 Zsolt Bertalan , Ashivni Shekhawat , James P. Sethna , Stefano Zapperi

Under certain conditions, applying a sequence of voltage pulses of alternating polarities across a resistive switching memory device induces a finite number of fixed-point attractors in its time-averaged dynamics, known as dynamical…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Valeriy A. Slipko , Alon Ascoli , Fernando Corinto , Yuriy V. Pershin

Transition-metal-oxide based resistance random access memory is a promising candidate for next-generation universal non-volatile memories. Searching and designing appropriate new materials used in the memories becomes an urgent task. Here,…

Materials Science · Physics 2015-03-05 Linggang Zhu , Jian Zhou , Zhonglu Guo , Zhimei Sun

A powerful time series analysis modeling technique is presented to describe cycle-to-cycle variability in memristors. These devices show variability linked to the inherent stochasticity of device operation and it needs to be accurately…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Francisco J. Alonso , David Maldonado , Ana M. Aguilera , Juan B. Roldán