共查询到11条相似文献，搜索用时 0 毫秒
1.
2.
In this article, we introduce a new three-parameter distribution called the extended inverse-Gompertz (EIGo) distribution. The implementation of three parameters provides a good reconstruction for some applications. The EIGo distribution can be seen as an extension of the inverted exponential, inverse Gompertz, and generalized inverted exponential distributions. Its failure rate function has an upside-down bathtub shape. Various statistical and reliability properties of the EIGo distribution are discussed. The model parameters are estimated by the maximum-likelihood and Bayesian methods under Type-II censored samples, where the parameters are explained using gamma priors. The performance of the proposed approaches is examined using simulation results. Finally, two real-life engineering data sets are analyzed to illustrate the applicability of the EIGo distribution, showing that it provides better fits than competing inverted models such as inverse-Gompertz, inverse-Weibull, inverse-gamma, generalized inverse-Weibull, exponentiated inverted-Weibull, generalized inverted half-logistic, inverted-Kumaraswamy, inverted Nadarajah–Haghighi, and alpha-power inverse-Weibull distributions. 相似文献
3.
Naif Alotaibi Atef F. Hashem Ibrahim Elbatal Salem A. Alyami A. S. Al-Moisheer Mohammed Elgarhy 《Entropy (Basel, Switzerland)》2022,24(8)
In this article, a new one parameter survival model is proposed using the Kavya–Manoharan (KM) transformation family and the inverse length biased exponential (ILBE) distribution. Statistical properties are obtained: quantiles, moments, incomplete moments and moment generating function. Different types of entropies such as Rényi entropy, Tsallis entropy, Havrda and Charvat entropy and Arimoto entropy are computed. Different measures of extropy such as extropy, cumulative residual extropy and the negative cumulative residual extropy are computed. When the lifetime of the item under use is assumed to follow the Kavya–Manoharan inverse length biased exponential (KMILBE) distribution, the progressive-stress accelerated life tests are considered. Some estimating approaches, such as the maximum likelihood, maximum product of spacing, least squares, and weighted least square estimations, are taken into account while using progressive type-II censoring. Furthermore, interval estimation is accomplished by determining the parameters’ approximate confidence intervals. The performance of the estimation approaches is investigated using Monte Carlo simulation. The relevance and flexibility of the model are demonstrated using two real datasets. The distribution is very flexible, and it outperforms many known distributions such as the inverse length biased, the inverse Lindley model, the Lindley, the inverse exponential, the sine inverse exponential and the sine inverse Rayleigh model. 相似文献
4.
5.
Dongfang Wu Jiancheng Zhou Yongdan Li 《Particle & Particle Systems Characterization》2005,22(1):63-68
The size of commercial catalyst pellets is distributed over a range of values. The suitability of the normal, lognormal and Weibull distributions to model pellet size variation was judged by three quality‐of‐fit criteria: the coefficient of determination, Akaike information criterion and Kolmogorov‐Smirnov test, respectively. It is concluded that the normal distribution is most appropriate to represent the diameter distribution of the spherical pellets, though the lognormal distribution also gives a satisfactory fit. The Weibull distribution is the best one to represent the length distribution of the catalyst tablets. It is elucidated that a downward tail of the tablet length distribution results from the fluctuating characteristics of feeding for the individual tablets. It is also pointed out that pellet size distributed in a narrow window is beneficial to the industrial application of solid catalysts. 相似文献
6.
截断光束的二阶矩矩阵 总被引：1，自引：0，他引：1
采用复高斯展开法和维格纳分布函数(WDF),推导出了截断光束的二阶矩矩阵通过大气湍流的传输公式.研究表明,将硬边光阑的复高斯展开函数引入z=0平面处的WDF中,能够避免截断光束二阶矩的积分发散问题,得到z=0平面处二阶矩的解析结果,并且保证了精度,从而方便地得到截断光束在大气湍流中传输的二阶矩矩阵.实验所得到的结果具有一般性,即无截断光束的二阶矩矩阵通过大气湍流传输和截断光束的二阶矩矩阵在自由空间的传输都可以分别作为特例给出. 相似文献
7.
H.F. Coronel-Brizio 《Physica A》2010,389(17):3508-155
Maximum likelihood estimation and a test of fit based on the Anderson-Darling statistic are presented for the case of the power-law distribution when the parameters are estimated from a left-censored sample. Expressions for the maximum likelihood estimators and tables of asymptotic percentage points for the A2 statistic are given. The technique is illustrated for data from the Dow Jones Industrial Average index, an example of high theoretical and practical importance in Econophysics, Finance, Physics, Biology and, in general, in other related sciences such as Complexity Sciences. 相似文献
8.
We discuss the motion of substance in a channel containing nodes of a network. Each node of the channel can exchange substance with: (i) neighboring nodes of the channel, (ii) network nodes which do not belong to the channel, and (iii) environment of the network. The new point in this study is that we assume possibility for exchange of substance among flows of substance between nodes of the channel and: (i) nodes that belong to the network but do not belong to the channel and (ii) environment of the network. This leads to an extension of the model of motion of substance and the extended model contains previous models as particular cases. We use a discrete-time model of motion of substance and consider a stationary regime of motion of substance in a channel containing a finite number of nodes. As results of the study, we obtain a class of probability distributions connected to the amount of substance in nodes of the channel. We prove that the obtained class of distributions contains all truncated discrete probability distributions of discrete random variable which can take values . Theory for the case of a channel containing infinite number of nodes is presented in Appendix A. The continuous version of the discussed discrete probability distributions is described in Appendix B. The discussed extended model and obtained results can be used for the study of phenomena that can be modeled by flows in networks: motion of resources, traffic flows, motion of migrants, etc. 相似文献
9.
低能离子注入小麦种子胚内的射程分布 总被引：4，自引：0，他引：4
采用110keV56Fe1+离子束垂直注入小麦种胚后,将小麦沿腹面的纵沟掰开,形成剖面,将剖面水平朝上粘贴在金属铜托上,用扫描电镜在剖面上从胚表面向纵深进行点分析,测定不同深度上由Fe元素激发出的特征X射线强度,由此得到了该种离子注入小麦胚内的最大射程约5μm,最可几射程为0.935μm.并对这种低能离子注入作物种子能诱发突变的机理进行了详细讨论. After embryo of wheat seed was right implanted by 110 keV 56Fe1+ions, the seed was broken into two parts by hand along its abdomen trench to form two cross sections. A half seed was pasted on a metal holder in keeping the cross section upwards horizontal. Spot analyses were carried out from embryo surface towards depth on the cross section under SEM and the intensity of characteristic X rays induced by electrons in Fe elements of the embryo was measured. From this, the maximum range of the ionsi... 相似文献
10.
The local, average and electronic structure of the semiconducting materials Si and Ge has been studied using multipole, maximum
entropy method (MEM) and pair distribution function (PDF) analyses, using X-ray powder data. The covalent nature of bonding
and the interaction between the atoms are clearly revealed by the two-dimensional MEM maps plotted on (100) and (110) planes
and one-dimensional density along [100], [110] and [111] directions. The mid-bond electron densities between the atoms are
0.554 e/?3 and 0.187 e/?3 for Si and Ge respectively. In this work, the local structural information has also been obtained by analyzing the atomic
pair distribution function. An attempt has been made in the present work to utilize the X-ray powder data sets to refine the
structure and electron density distribution using the currently available versatile methods, MEM, multipole analysis and determination
of pair distribution function for these two systems.
相似文献