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A theoretical analysis of the odd generalized exponentiated inverse Lomax distribution 奇广义指数逆Lomax分布的理论分析
Pub Date : 2019-02-11 DOI: 10.15406/bbij.2019.08.00264
O. Maxwell, Agu Friday, Nwokike Chukwudike, Francis Runyi, Offorha Bright
Various distributions have been proposed to serve as models for wide applications on data from different real-life situations through the extension of existing distribution. This has been achieved in various ways. The Lomax distribution also called “Pareto type II” is a special case of the generalized beta distribution of the second kind,1 and can be seen in many application areas, such as actuarial science, economics, biological sciences, engineering, lifetime and reliability modeling and so on.2 This heavy duty distribution is considered useful as an alternative distribution to survival problems and life-testing in engineering and survival analysis.3 Inverse Lomax distribution is a member of the inverted family of distributions and discovered to be very flexible in analyzing situations with a realized non-monotonic failure rate.4 If a random variable X has a Lomax distribution, then 1 = Y X has an inverse Lomax Distribution. Thus, a random variable X is said to have an Inverted Lomax distribution if the corresponding probability density function and cumulative density function are given by Yadav et al.5
通过对现有分布的扩展,提出了各种分布作为模型,以广泛应用于来自不同实际情况的数据。这是通过各种方式实现的。Lomax分布也称为“Pareto II型”,是第二类广义beta分布的特例1,在精算科学、经济学、生物科学、工程、寿命和可靠性建模等许多应用领域中都可以看到这种重负荷分布被认为是工程和生存分析中生存问题和寿命测试的一种替代分布逆Lomax分布是逆分布族中的一员,在分析已实现非单调故障率的情况时被发现是非常灵活的如果随机变量X具有洛max分布,则1 = Y X具有逆洛max分布。因此,如果对应的概率密度函数和累积密度函数由Yadav等人给出,则称随机变量X具有倒Lomax分布
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引用次数: 15
Interpreting the cumulative frequency distribution of Socio-Economic data 解释社会经济数据的累积频率分布
Pub Date : 2019-01-23 DOI: 10.15406/bbij.2019.08.00263
Othmar W. Winkler
The accumulated frequencies of the quantitative variables of socio-economic statistical data, the ogive, are treated , if at all, as a curiosity and only as an instruction of how to rearranging the frequencies of the distribution. The meaning of the result, an ogive, is not explained nor is its interpretation attempted. It is the purpose of this paper to make sense of cumulative frequency distributions, revealing features of the concrete local-historical situations of society, described by the data, that otherwise would remain unnoticed.
社会经济统计数据的数量变量的累计频率,即椭圆,如果有的话,被视为一种奇珍异宝,只是作为如何重新安排分布频率的指导。结果的意义,一个ogive,没有解释,也没有试图解释。本文的目的是理解累积频率分布,揭示由数据描述的社会具体地方历史情况的特征,否则这些特征将被忽视。
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引用次数: 0
A two-parameter power Rama distribution with properties and applications 一种双参数功率拉玛分布及其特性和应用
Pub Date : 2019-01-21 DOI: 10.15406/bbij.2019.08.00262
R. Shanker, Berhane Abebe, Mussie Tesfay, Tesfalem Eyob
The statistical properties, estimation of parameter and application of Lindley distribution are discussed in Ghitany et al.,4 Shanker et al.,5 have detailed study on applications of Lindley distribution and exponential distribution to model real lifetime datasets from engineering and biomedical sciences. Since Rama distribution has only one parameter, it has less flexibility to model data of varying natures. In the present paper an attempt has been made to derive twoparameter power Rama distribution which includes one parameter Rama distribution as particular cases as power transformation of Rama distribution. The shapes of the density, moments, hazard rate function, and mean residual life function of the distribution have been discussed. The maximum likelihood estimation has been explained. The goodness of fit of the proposed distribution has been discussed with two real lifetime dataset and fit shows quite satisfactory fit over other one parameter and two-parameter lifetime distributions.
Ghitany等人讨论了Lindley分布的统计性质、参数估计和应用,Shanker等人,5详细研究了Lindley分布和指数分布在工程和生物医学真实寿命数据集建模中的应用。由于Rama分布只有一个参数,因此它对不同性质的数据建模的灵活性较差。本文试图推导出双参数功率Rama分布,其中包括单参数Rama分布和Rama分布的功率变换等特殊情况。讨论了分布的密度、矩、危险率函数和平均剩余寿命函数的形状。对最大似然估计进行了解释。用两个真实寿命数据集讨论了所提出的分布的拟合优度,拟合结果表明,该分布与其他单参数和双参数寿命分布的拟合相当满意。
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引用次数: 9
Application of GLM (logistic regression) on serological data of malaria infection logistic回归在疟疾感染血清学资料中的应用
Pub Date : 2019-01-09 DOI: 10.15406/bbij.2019.08.00261
Getachew Tekle
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引用次数: 0
A review of statistical methods on testing time-to-event data 测试事件时间数据的统计方法综述
Pub Date : 2018-12-19 DOI: 10.15406/bbij.2018.07.00260
Tu Xu, Danting Zhu
In oncology randomized clinical trials, the time-to-event(TTE) type of endpoints such as progression-free survival (PFS) and overall survival(OS), are commonly used as the primary or key secondary endpoints for comparing the experimental treatment and active control/ placebo. In practice, the proportional hazard (PH) is usually assumed to characterize the treatment benefit over time of TTE endpoints and calculate the required sample size. With the PH assumption, the hazard ratio (HR) between treatment arms is a constant over time, and the corresponding testing hypothesis is expressed as
在肿瘤学随机临床试验中,事件发生时间(TTE)类型的终点,如无进展生存期(PFS)和总生存期(OS),通常被用作比较实验治疗和主动对照/安慰剂的主要或关键次要终点。在实践中,通常假设比例风险(PH)表征TTE终点随时间变化的治疗效益,并计算所需的样本量。在PH假设下,各治疗组间的风险比(HR)随时间不变,相应的检验假设表示为
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引用次数: 0
Two parameter modified ratio estimators with two auxiliary variables for the estimation of finite population mean 具有两个辅助变量的有限总体均值估计的两个参数修正比率估计
Pub Date : 2018-12-14 DOI: 10.15406/bbij.2018.07.00259
J. Subramani
information on auxiliary variables are effectively used to improve the efficiency of the simple random sampling without replacement (SRSWOR) estimator of the population mean. As the results, ratio, product and regression estimators are widely utilized in many situations, see for example Cochran1 and Murthy.2 Modified ratio estimators are developed to achieve further improvements on the ratio estimator with known parameters of the auxiliary variable, which include Sisodia & Dwivedi3 with known Co-efficient of Variation, Singh et.,4 with known Kurtosis, Yan & Tian5 with the known Skewness, Subramani and Kumarapandiyan6-9 with the known median and its linear combinations with the other known parameters. This paper deals with the two parameter modified ratio estimators with known correlation coefficient and skewness of two auxiliary variables
有效地利用辅助变量信息,提高了总体均值的简单随机抽样无置换(SRSWOR)估计的效率。因此,比率、产品和回归估计器在许多情况下被广泛使用,例如参见Cochran1和Murthy.2。改进的比率估计器是为了进一步改进已知辅助变量参数的比率估计器,其中包括已知变异系数的Sisodia和Dwivedi3,已知峭度的Singh等人,4,已知偏度的Yan和Tian5,Subramani和Kumarapandiyan6-9与已知中值及其与其他已知参数的线性组合。本文研究了已知两个辅助变量的相关系数和偏度的两个参数修正比率估计
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引用次数: 0
Applying biometry to increase productivity in rural and under-developed areas and maximize the potential of local natural resources for global benefit 应用生物计量技术提高农村和欠发达地区的生产力,最大限度地发挥当地自然资源的潜力,造福全球
Pub Date : 2018-11-30 DOI: 10.15406/bbij.2018.07.00258
S. Tzortzios
It is reported by FAO that between now and 2050, the world’s population will increase by one-third. Most of these additional 2 billion people will live in developing countries. At the same time, more people will be living in cities. If current income and consumption growth trends continue, FAO estimates that agricultural production will have to increase by 60 percent by 2050 to satisfy the expected demands for food and feed. Agriculture must therefore transform itself if it is to feed a growing global population and provide the basis for economic growth and poverty reduction. Climate change will make this task more difficult under a business-as-usual scenario, due to adverse impacts on agriculture, requiring spiraling adaptation and related costs.
据联合国粮农组织报道,从现在到2050年,世界人口将增加三分之一。这20亿新增人口中的大多数将生活在发展中国家。与此同时,更多的人将生活在城市。粮农组织估计,如果目前的收入和消费增长趋势继续下去,到2050年,农业生产将必须增加60%,才能满足对粮食和饲料的预期需求。因此,如果要养活不断增长的全球人口并为经济增长和减少贫困提供基础,农业就必须进行自我改革。在一切照旧的情况下,由于对农业的不利影响,气候变化将使这项任务更加困难,需要不断上升的适应和相关成本。
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引用次数: 0
Biotechnology revolution from academic entrepreneurship to industrial: chemo-entrepreneurship 从学术创业到产业创业的生物技术革命:化学创业
Pub Date : 2018-11-28 DOI: 10.15406/bbij.2018.07.00257
R. Sadraei, V. Sadeghi, Maryam Sadraei
In this study, we investigate the development of biotechnology from academic entrepreneurship to industrial entrepreneurship. Several factors were studied in order to explore their influence on evolution of Biotechnology in three different context such as United States, Europe area (Italy) for this case study. In the present work some flexible factors were considered due to its transferability to other fields of broad observations regarding entrepreneuring.
在本研究中,我们考察了生物技术从学术创业到产业创业的发展。为了本案例研究,研究了几个因素,以探讨它们在美国、欧洲地区(意大利)等三个不同背景下对生物技术进化的影响。在本工作中考虑了一些灵活的因素,因为它可转移到关于创业的广泛观察的其他领域。
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引用次数: 11
Modeling lifetime data with Weibull-Lindley distribution 用Weibull-Lindley分布建模寿命数据
Pub Date : 2018-11-23 DOI: 10.15406/bbij.2018.07.00256
Ieren Tg
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引用次数: 1
Wrapped hb-skewed laplace distribution and its application in meteorology 包裹hb-偏态拉普拉斯分布及其在气象学中的应用
Pub Date : 2018-11-20 DOI: 10.15406/BBIJ.2018.07.00255
J. Varghese, K. K. Jose
Circular or directional data arise in different ways. The two main ways correspond to the two principal circular measuring instruments, the compass and the clock. Typical observations measured by the compass include wind directions and directions of migrating birds. Data of a similar type arise from measurements by spirit level or protractor. Typical observations measured by the clock include the arrival times (on a 24-hour clock) of patients at a casualty unit in a hospital. Data of a similar type arise as times of year or times of month of appropriate events. A circular observation can be regarded as a point on a circle of unit radius, or a unit vector (i.e. a direction) in the plane. Once an initial direction and an orientation of the circle have been chosen, each circular observation can be specified by the angle from the initial direction to the point on the circle corresponding to the observation.
圆形或定向数据以不同的方式出现。这两种主要方式对应于两种主要的圆形测量仪器,指南针和时钟。用指南针测量的典型观测包括风向和候鸟的方向。类似的数据来自水平仪或量角器的测量。由时钟测量的典型观察包括(在24小时时钟上)病人到达医院急诊室的时间。类似类型的数据出现在适当事件发生的年份或月份。一个圆形观测点可以看作是单位半径圆上的一个点,或者是平面上的一个单位矢量(即一个方向)。一旦选择了圆的初始方向和方向,每个圆形观测点都可以通过初始方向与观测点对应的圆上点的夹角来指定。
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引用次数: 1
期刊
Biometrics & biostatistics international journal
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