Does how long observing correlate with upper record value? Fukushima nuclear disaster’s radiation levels are illustrated

2020 ◽  
pp. 1-13
Author(s):  
Ramalingam Shanmugam
Keyword(s):  
Record Value ◽  
Upper Record

Characterizations using record moments in a random record model and applications

2003 ◽  
Vol 40 (3) ◽  
pp. 826-833 ◽  
Author(s):  
H. N. Nagaraja ◽  
Gadi Barlevy
Keyword(s):  
Distribution Function ◽  
Job Search ◽  
Cumulative Distribution Function ◽  
Cumulative Distribution ◽  
Search Models ◽  
Location Shift ◽  
Record Value ◽  
Upper Record

We consider a random record model from a continuous parent X with cumulative distribution function F, where the number of available observations is geometrically distributed. We show that, if E(|X|) is finite, then so is E(|Rn|) whenever Rn, the nth upper record value, exists. We prove that appropriately chosen subsequences of E(Rn) characterize F and subsequences of E(Rn − Rn−1) identify F up to a location shift. We discuss some applications to the identification of wage-offer distributions in job search models.

Characterizations using record moments in a random record model and applications

2003 ◽  
Vol 40 (03) ◽  
pp. 826-833 ◽  
Author(s):  
H. N. Nagaraja ◽  
Gadi Barlevy
Keyword(s):  
Distribution Function ◽  
Job Search ◽  
Cumulative Distribution Function ◽  
Cumulative Distribution ◽  
Search Models ◽  
Location Shift ◽  
Record Value ◽  
Upper Record

We consider a random record model from a continuous parent X with cumulative distribution function F, where the number of available observations is geometrically distributed. We show that, if E(|X|) is finite, then so is E(|R n |) whenever R n , the nth upper record value, exists. We prove that appropriately chosen subsequences of E(R n ) characterize F and subsequences of E(R n − R n−1) identify F up to a location shift. We discuss some applications to the identification of wage-offer distributions in job search models.

Inference about Weibull Distribution Using Upper Record Values

2015 ◽  
Vol 22 (04) ◽  
pp. 1550016
Author(s):  
Kai Huang ◽  
Jie Mi
Keyword(s):  
Weibull Distribution ◽  
Prediction Interval ◽  
Record Values ◽  
Testing Procedures ◽  
Scale Parameters ◽  
Upper Record Values ◽  
Record Value ◽  
Upper Record ◽  
Two Parameters ◽  
Two Parameter

This paper studies the frequentist inference about the shape and scale parameters of the two-parameter Weibull distribution using upper record values. The exact sampling distribution of the MLE of the shape parameter is derived. The asymptotic normality of the MLEs of both parameters are obtained. Based on these results this paper proposes various confidence intervals of the two parameters. Assuming one parameter is known certain testing procedures are proposed. Furthermore, approximate prediction interval for the immediately consequent record value is derived too. Conclusions are made based on intensive simulations.

Record values and extreme value distributions

1982 ◽  
Vol 19 (01) ◽  
pp. 233-239 ◽  
Author(s):  
H. N. Nagaraja
Keyword(s):  
Random Variable ◽  
Record Values ◽  
Canonical Representation ◽  
Extreme Value ◽  
Extreme Value Distributions ◽  
Upper Record Values ◽  
Lower Record ◽  
Record Value ◽  
Upper Record

The limit distribution of thekth maximum from a random sample of sizenwhenn →∞ is identified as the distribution of thekth lower record value from one of three extreme value distributions. This fact is used in giving a different canonical representation and new proofs of the results of Hall (1978) for this limiting random variable. A characterization of the exponential distribution based on upper record values is given.

Record values and extreme value distributions

1982 ◽  
Vol 19 (1) ◽  
pp. 233-239 ◽  
Author(s):  
H. N. Nagaraja
Keyword(s):  
Random Variable ◽  
Record Values ◽  
Canonical Representation ◽  
Extreme Value ◽  
Extreme Value Distributions ◽  
Upper Record Values ◽  
Lower Record ◽  
Record Value ◽  
Upper Record

The limit distribution of the k th maximum from a random sample of size n when n → ∞ is identified as the distribution of the k th lower record value from one of three extreme value distributions. This fact is used in giving a different canonical representation and new proofs of the results of Hall (1978) for this limiting random variable. A characterization of the exponential distribution based on upper record values is given.

Characterization of a New Family of Distribution Through Upper Record Values

2021 ◽  
Vol 52 ◽  
Author(s):  
Md. Izhar Khan
Keyword(s):  
Conditional Expectation ◽  
Record Values ◽  
New Class ◽  
New Family ◽  
Upper Record Values ◽  
Record Value ◽  
Upper Record

In this paper, a new class of distribution has been characterized through the condi- tional expectations, conditioned on a non-adjacent upper record value. Also an equivalence between the unconditional and conditional expectation is used to characterize the new class of distribution.

scholarly journals Iodine reduction for reproducible and high-performance perovskite solar cells and modules

2021 ◽  
Vol 7 (10) ◽  
pp. eabe8130
Author(s):  
Shangshang Chen ◽  
Xun Xiao ◽  
Hangyu Gu ◽  
Jinsong Huang
Keyword(s):  
Solar Cells ◽  
High Performance ◽  
High Efficiency ◽  
Electronic Materials ◽  
Substantial Reduction ◽  
Perovskite Solar Cells ◽  
High Yield ◽  
Operation Conditions ◽  
Record Value ◽  
Precursor Powders

Perovskite-based electronic materials and devices such as perovskite solar cells (PSCs) have notoriously bad reproducibility, which greatly impedes both fundamental understanding of their intrinsic properties and real-world applications. Here, we report that organic iodide perovskite precursors can be oxidized to I2 even for carefully sealed precursor powders or solutions, which markedly deteriorates the performance and reproducibility of PSCs. Adding benzylhydrazine hydrochloride (BHC) as a reductant into degraded precursor solutions can effectively reduce the detrimental I2 back to I−, accompanied by a substantial reduction of I3−-induced charge traps in the films. BHC residuals in perovskite films further stabilize the PSCs under operation conditions. BHC improves the stabilized efficiency of the blade-coated p-i-n structure PSCs to a record value of 23.2% (22.62 ± 0.40% certified by National Renewable Energy Laboratory), and the high-efficiency devices have a very high yield. A stabilized aperture efficiency of 18.2% is also achieved on a 35.8-cm2 mini-module.

scholarly journals Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix

2020 ◽  
Vol 8 (1) ◽  
pp. 22-35
Author(s):  
M. Shakil ◽  
M. Ahsanullah
Keyword(s):  
Order Statistics ◽  
Condition Number ◽  
Record Values ◽  
Distributional Properties ◽  
Upper Record Values ◽  
Upper Record

AbstractThe objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties of the distribution of the condition number of a complex Gaussian matrix are given. Based on such distributional properties, some characterizations of the distribution are given by truncated moment, order statistics and upper record values.

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