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Reliability Bounds of Dependent Circular Consecutive $$boldsymbol{k}$$-out-of-$$boldsymbol{n:G}$$ Systems 相关循环连续$$boldsymbol{k}$$ -out- $$boldsymbol{n:G}$$系统的可靠性界
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2023-03-01 DOI: 10.3103/s1066530723010052
Megraoui Fatima Zohra, Belaloui Soheir
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引用次数: 0
Rates of the Strong Uniform Consistency for the Kernel-Type Regression Function Estimators with General Kernels on Manifolds 流形上具有一般核的核型回归函数估计的强一致相合率
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2023-03-01 DOI: 10.3103/S1066530723010027
S. Bouzebda, Nourelhouda Taachouche
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引用次数: 5
Tail and Quantile Estimation for Real-Valued $$boldsymbol{beta}$$-Mixing Spatial Data 实值$$boldsymbol｛beta｝$$的尾部和分位数估计-混合空间数据
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2022-12-01 DOI: 10.3103/s1066530722040044
Tchamiè Tchazino, S. Dabo‐Niang, A. Diop
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引用次数: 0
What Intraclass Covariance Structures Can Symmetric Bernoulli Random Variables Have? 对称伯努利随机变量具有哪些类内协方差结构？
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2022-10-04 DOI: 10.3103/S1066530722040020
I. Pinelis
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引用次数: 1
Bounds on the Expectations of $$boldsymbol{L}$$ -Statistics Based on iid Life Distributions $$boldsymbol{L}$$期望值的界限——基于id寿命分布的统计
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2022-09-28 DOI: 10.3103/s1066530722020041
Tomasz Rychlik

Abstract

We consider the order statistics based on independent identically distributed non-negative random variables. We determine sharp upper bounds on the expectations of arbitrary linear combinations of order statistics, expressed in the scale units being the (p)th roots of (p)th raw moments of original variables for various (pgeq 1). The bounds are more precisely described for the single order statistics and spacings. The lower bounds are concluded from the upper ones.

摘要考虑基于独立同分布非负随机变量的序统计量。我们确定了有序统计量的任意线性组合的期望的明显上界，以尺度单位表示为(p)的根(p)原始变量的原始矩对于各种(pgeq 1)。对于单阶统计量和间隔，边界更精确地描述。下界是由上界推导出来的。
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引用次数: 0
Robbins–Monro Algorithm with $$boldsymbol{psi}$$ -Mixing Random Errors 罗宾斯-门罗算法$$boldsymbol{psi}$$ -混合随机误差
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2022-09-01 DOI: 10.3103/S1066530722030024
AbdelKader El Moumen, Salim Benslimane, S. Rahmani
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引用次数: 0
Information Generating Function of Record Values 记录值信息生成函数
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2022-09-01 DOI: 10.3103/S1066530722030036
Z. Zamani, O. Kharazmi, N. Balakrishnan
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引用次数: 5
Statistical Inference in a Zero-Inflated Bell Regression Model 零膨胀钟形回归模型的统计推断
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2022-09-01 DOI: 10.3103/S1066530722030012
Essoham Ali, Mamadou Diop, A. Diop
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引用次数: 1
Tail Maximal Dependence in Bivariate Models: Estimation and Applications 二元模型的尾极大依赖性：估计及其应用
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2022-07-27 DOI: 10.3103/S1066530722040032
Ning Sun, Chen Yang, R. Zitikis
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引用次数: 2
D-Optimal Designs for the Mitscherlich Non-Linear Regression Function 非线性回归函数的d -最优设计
IF 0.5 Q3 STATISTICS & PROBABILITY
Mathematical Methods of Statistics
Pub Date : 2022-07-18 DOI: 10.3103/s1066530722010033
Maliheh Heidari, Md Abu Manju, Pieta C. IJzerman-Boon, Edwin R. van den Heuvel

Abstract

Mitscherlich’s function is a well-known three-parameter non-linearregression function that quantifies the relation between astimulus or a time variable and a response. It has manyapplications, in particular in the field of measurementreliability. Optimal designs for estimation of this function havebeen constructed only for normally distributed responses withhomoscedastic variances. In this paper we generalize thisliterature to D-optimal designs for discrete and continuousresponses having their distribution function in the exponentialfamily. We also demonstrate that our D-optimal designs can beidentical to and different from optimal designs for varianceweighted linear regression.

摘要mitscherlich函数是一个著名的三参数非线性回归函数，用于量化刺激或时间变量与响应之间的关系。它有许多应用，特别是在测量可靠性领域。估计该函数的最优设计仅适用于具有均方差的正态分布响应。在本文中，我们将这些文献推广到离散和连续响应具有指数族分布函数的d -最优设计。我们还证明了我们的d -最优设计可以与方差加权线性回归的最优设计相同或不同。
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引用次数: 1
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