scholarly journals New Parametric Estimation Methods based on Ranked Set Sampling

2019 ◽  
Vol 32 (4) ◽  
pp. 1356-1368
Author(s):  
Mohamed ABDALLAH ◽  
Samir ASHOUR
1997 ◽  
Vol 47 (1-2) ◽  
pp. 23-42 ◽  
Author(s):  
Dayong Li ◽  
Nora Ni Chuiv

In this paper we discuss the issue of efficiency of a ranked set sample compared to a simple random sample in the context of a variety of parametric estimation problems. We establish that the use of appropriate variations of a ranked set sample often results in improved estimation of many common parameters of interest with a substantially smaller number of measurements compared to a simple random sample.


2019 ◽  
Vol 35 (4) ◽  
pp. 505-529
Author(s):  
Kalpana Dharmalingam ◽  
Thyagarajan Thangavelu

Abstract In process industries, closed-loop step and closed-loop relay feedback tests are popularly used for estimating model parameters. In this paper, different methods available in the literature for parameter estimation using conventional techniques and techniques based on relay feedback test are surveyed by reviewing around 152 research articles published during the past three decades. Through a comprehensive survey of available literature, the parameter estimation methods are classified into two broad groups, namely conventional techniques and relay-based parametric estimation techniques. These relay-based techniques are further classified into two subgroups, namely single-input-single-output (SISO) systems and multi-input-multi-output systems (both square and nonsquare), and are revealed in a lucid manner with the help of benchmark examples and case studies. For the above categorized methods, the procedural steps involved in relay-based parametric estimation methods are also presented. To facilitate the readers, comparison tables are included to comprehend the results of different parametric estimation techniques available in the literature. The incorporation of quantitative and qualitative analysis of papers published in various journals in the above area with the help of pie charts and graphs would enable the readers to grasp the overview of the research activity being carried out in the relay feedback domain. At the end, the challenging issues in relay-based parametric estimation methods and the directions for future investigations that can be explored are also highlighted.


2020 ◽  
Author(s):  
Molly M. King

Researchers often need to work with categorical income data. While the typical nonparametric (including midpoint) and parametric estimation methods used to estimate summary statistics both have advantages, they all carry assumptions which cause them to deviate in important ways from real world distributions of income. The method introduced here, Random Empirical Distribution Imputation (REDI), imputes discrete observations using binned income data, while also calcu- lating summary statistics. REDI achieves this through random cold-deck imputation from a real world reference dataset (here, the Current Population Survey ASEC). This imputation method reconciles bins between datasets or across years and handles top incomes. REDI has other ad- vantages of computing an income distribution that is nonparametric, bin consistent, area- and variance-preserving, continuous, and computationally fast. I provide proof of concept using two years of the American Community Survey.


Author(s):  
Abbas N. Salman ◽  
Ibtehal H. Farhan ◽  
Maymona M. Ameen ◽  
Adel Abdulkadhim Hussein

          In this paper, the survival function has been estimated for the patients with lung cancer using different parametric estimation methods depending on sample for completing real data which explain the period of survival for patients who were ill with the lung cancer based on the diagnosis of disease or the entire of patients in a hospital for a time of two years (starting with 2012 to the end of 2013). Comparisons between the mentioned estimation methods has been performed using statistical indicator mean squares error, concluding that the estimation of the survival function for the lung cancer by using pre-test singles stage shrinkage estimator method was the best   . 


2020 ◽  
Vol 35 (4) ◽  
pp. 1805-1826
Author(s):  
Cesar Augusto Taconeli ◽  
Wagner Hugo Bonat

2019 ◽  
Vol 25 (2) ◽  
pp. 5-15
Author(s):  
V.M. Moroz ◽  
M.V. Yoltukhivskyy ◽  
O.V. Vlasenko ◽  
G.S. Moskovko ◽  
O.V. Bogomaz ◽  
...  

The organization of walking and its disorders remain one of the most difficult sections of the physiology of the nervous system and neurology. The purpose of the work is to analyze the sexual features of the spatio-temporal parameters of the person walking and the directions of their changes in the conditions of performing additional cognitive tasks. Sex-related features of human walking with cognitive tasks are investigated. 608 individuals of both sexes aged 12-43 years were examined by GAITRite®. Consistent naming of animals and consistent subtraction of 7 starting at 100 were used as cognitive tasks. Statistical processing of the obtained results was performed in the license package “STATISTICA 5.5” using parametric estimation methods. At performing the first (simpler) cognitive task in all age groups of men step length, stride length, step extremity ratio, support base, toe-in-out were increased. Temporal parameters in adolescents of both genders did not differ. Girls have longer step time, cycle time, single support, swing time and a slower velocity. The integral index of walking quality (FAP) tended to decrease in all examined groups: in adolescent males by 13.3±3.9 %; in young men by 14.6±2.2 %; in adolescent women by 15.3±1.8 %; in young women by 14.4±1.1 %; in middle-aged women 7.3±4.8 %. Boys and girls performed more complex cognitive tasks with reduced spatial and temporal parameters (primarily by increasing the double support and swing time), the support base and toe-in-out were stable. The step cycle was rebuilt. The support base and toe-in-out remained unchanged both in boys and girls. The boys were moving at a faster velocity, taking more steps per minute. The step time right, cycle time for each leg, single support time and double support time in girls lasted much longer. FAP declined sharply by 30.4 % in boys and by 33.4 % in girls, indicating a major reorganization of basic mechanisms for regulating walking stability. Such a decrease in FAP leads to a decrease in the level of the balance maintaining and a decrease in body stability during movement, which means that it increases the risk of falls. A complex cognitive task led to a decrease in walking performance and a more critical decrease in the quality of walking in favor of moving forward and maintaining the balance. Thus, walking is not an automated process, but requires the use of a variety of additional CNS resources, primarily attention and cognitive resources.


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