All-Region Statistical Model for Delay Variation Based on Log-Skew-Normal Distribution

Balef, Hadi Ahmadi; Kamal, Mehdi; Afzali-Kusha, Ali; Pedram, Massoud

doi:10.1109/tcad.2015.2511148

Cited by 17 publications

(4 citation statements)

References 11 publications

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“…A substantial number of contributions in this domain has been summarized by Azzalini and Capitanio [7] (pp. [218][219][220], and (also for space reasons) we do not reproduce them here. More recent contributions, focusing especially on those connected with multivariate response, include the work of Baghfalaki et al [108], Huang and Dagne [109], Chang and Zimmerman [110], and Jana et al [111].…”

Section: Methods For Biostatistics and Medical Statisticsmentioning

confidence: 99%

“…Zadkarami and Rowhani [218] uses the SN in a discriminant analysis to classify the pixels of a remotely sensed satellite image. Balef et al [219] use the log SN distribution to model delay variation for supply voltages in an electricity network. Tsai and Lin [220] use a non-linear SN model and develop procedures to assess the reliability information of products in which quality degrades over time.…”

Section: Industrial and Technological Applicationsmentioning

confidence: 99%

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A Selective Overview of Skew-Elliptical and Related Distributions and of Their Applications

Adcock

Azzalini

2020

Symmetry

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Within the context of flexible parametric families of distributions, much work has been dedicated in recent years to the theme of skew-symmetric distributions, or symmetry-modulated distributions, as we prefer to call them. The present contribution constitutes a review of this area, with special emphasis on multivariate skew-elliptical families, which represent the subset with more immediate impact on applications. After providing background information of the distribution theory aspects, we focus on the aspects more relevant for applied work. The exposition is targeted to non-specialists in this domain, although some general knowledge of probability and multivariate statistics is assumed. Given this aim, the mathematical profile is kept to the minimum required.

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Section: Methods For Biostatistics and Medical Statisticsmentioning

confidence: 99%

Section: Industrial and Technological Applicationsmentioning

confidence: 99%

A Selective Overview of Skew-Elliptical and Related Distributions and of Their Applications

Adcock

Azzalini

2020

Symmetry

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“…According to [17], LSN distribution is suggested for the modeling of the delay distribution and shows remarkable accuracy in the near-threshold region. Therefore, X is assumed skew-normal distribution, the distribution parameters are ε, ω and λ, and the basic propertied of SN and LSN are introduced in Section 2.…”

Section: Moment Matchingmentioning

confidence: 99%

“…For near-threshold region, Balef et al [17] use log-skew-normal (LSN) distribution to model the delay distribution across all voltage regions with its distribution parameters determined by fitting from the Monte Carlo (MC) samples. But it does not reveal the relationship with the process parameters and the environment parameters and takes numerous MC simulations.…”

Section: Introductionmentioning

confidence: 99%

Analytical Gate Delay Variation Model with Temperature Effects in Near-Threshold Region Based on Log-Skew-Normal Distribution

Guo

Cao

et al. 2019

Electronics

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The near-threshold design is widely employed in the energy-efficient circuits, but it suffers from a high sensitivity to process variation, which leads to 2X delay variation due to temperature effects. Hence, it is not negligible. In this paper, we propose an analytical model for gate delay variation considering temperature effects in the near-threshold region. The delay variation model is constructed based on the log-skew-normal distribution by moment matching. Moreover, to deal with complex gates, a multi-variate threshold voltage approximation approach of stacked transistors is proposed. Also, three delay metrics (delay variability, ± 3 σ percentile points) are quantified and have a comparison with other known works. Experimental results show that the maximum of delay variability is 5% compared with Monte Carlo simulation and improves 5X in stacked gates compared with lognormal distribution. Additionally, it is worth mentioning that, the proposed model exhibits excellent advantages on − 3 σ and stacked gates, which improves 5X–10X in accuracy compared with other works.

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Shapiro–Wilk test for skew normal distributions based on data transformations

González-Estrada

Cosmes

2019

Journal of Statistical Computation and Simulation

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All-Region Statistical Model for Delay Variation Based on Log-Skew-Normal Distribution

Cited by 17 publications

References 11 publications

A Selective Overview of Skew-Elliptical and Related Distributions and of Their Applications

A Selective Overview of Skew-Elliptical and Related Distributions and of Their Applications

Analytical Gate Delay Variation Model with Temperature Effects in Near-Threshold Region Based on Log-Skew-Normal Distribution

Shapiro–Wilk test for skew normal distributions based on data transformations

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