MAXIMUM LIKELIHOOD AND UNIFORMLY MINIMUM VARIANCE UNBIASED ESTIMATION OF P(Y<X) FOR GOMPERTZ DISTRIBUTION

Wasi Alam; Ajit Chaturvedi; K N. Singh; Anil Kumar; Amrit K. Paul; Ranjit K. Paul; Kanchan Sinha

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MAXIMUM LIKELIHOOD AND UNIFORMLY MINIMUM VARIANCE UNBIASED ESTIMATION OF P(Y 展开▼

机译：Gompertz分布的P（Y 展开▼

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Maximum likelihood estimator of R = P(Y < X) is derived when all the parameters of Gompertz distribution for X and Y are unknown and unequal. Maximum likelihood estimator for estimating ‘R’ is also derived, when one parameter is known (and equal), but other parameter is unknown for X and Y. Uniformly minimum variance unbiased estimator (UMVUE) of P(Y < X) is also derived for the case when one parameter is known (and unequal), but other parameter is unknown for both X and Y. A new approach has beenapplied for deriving the UMVUE of R using estimator of power of unknown parameter. Performance of the estimators have been examined using bootstrap technique.

机译：当X和Y的Gompertz分布的所有参数未知且不相等时，得出R = P（Y

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《International Journal of Agricultural and Statistical Sciences》 |2014年第2期|共8页
作者
Wasi Alam; Ajit Chaturvedi; K N. Singh; Anil Kumar; Amrit K. Paul; Ranjit K. Paul; Kanchan Sinha;
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正文语种 eng
中图分类农业科学;
关键词
Maximum likelihood estimator; Uniformly minimum variance unbiased estimator; P(Y lt; X); Gompertz distribution.;

机译：最大似然估计;一致最小方差无偏估计;P（Y X）;Gompertz分布。;

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专利

1. MAXIMUM LIKELIHOOD AND UNIFORMLY MINIMUM VARIANCE UNBIASED ESTIMATION OF P(Y [J] . Wasi Alam, Ajit Chaturvedi, K N. Singh, International Journal of Agricultural and Statistical Sciences . 2014,第2期

机译：Gompertz分布的P（Y
2. Uniformly minimum variance conditionally unbiased estimation in multi-arm multi-stage clinical trials [J] . Stallard Nigel, Kimani Peter K. Biometrika . 2018,第2期

机译：均匀的最小方差有条件地在多臂多阶段临床试验中无偏见的估计
3. Uniformly minimum variance nonnegative quadratic unbiased estimation in a generalized growth curve model [J] . Wu XY, Zou GH, Li YF Journal of Multivariate Analysis: An International Journal . 2009,第5期

机译：广义增长曲线模型中的一致最小方差非负二次无偏估计
4. The Influence of SO4 and NO3 to The Acidity (pH) of Rainwater Using Minimum Variance Quadratic Unbiased Estimation (MIVQUE) and Maximum Likelihood Methods [C] . Shintia Ulfa Dilla, Yudhie Andriyana, Sudartianto International Conference on Applied Statistics . 2017

机译：使用最小方差二次异偏异估计（MIVQUE）和最大似然方法，SO4和NO3对雨水酸度（pH）的影响和最大似然方法
5. A comparison of estimators in hierarchical linear modeling: Restricted maximum likelihood versus bootstrap via minimum norm quadratic unbiased estimators. [D] . Delpish, Ayesha Nneka. 2006

机译：分层线性建模中估计量的比较：通过最小范数二次无偏估计量来限制最大似然与自举。
6. A Monte-Carlo algorithm for maximum likelihood estimation of variance components [O] . S Xu, WR Atchley 1996

机译：用于方差分量的最大似然估计的蒙特卡洛算法
7. Minimum Variance Unbiased Estimation in the Gompertz Distribution under Progressive Type II Censored Data with Binomial Removals [O] . Ashok Shanubhogue, N. R. Jain 2013

机译：在逐步II型下的Gompertz分布中的最小方差估计被宣传的数据与二项式去除
8. On the Uniformly Minimum Variance Unbiased Estimators of the Variance and its Reciprocal of an Inverse Gaussian Distribution [R] . Korwar, R. M. 1979

机译：关于逆高斯分布的方差的一致最小方差无偏估计及其倒数

MAXIMUM LIKELIHOOD AND UNIFORMLY MINIMUM VARIANCE UNBIASED ESTIMATION OF P(Y 展开▼

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