Novel entropy estimators of a continuous random variable

2019 ◽  
Vol 10 (02) ◽  
pp. 1950004 ◽  
Author(s):  
Amer Ibrahim Al-Omari ◽  
Abdul Haq
Keyword(s):  
Random Sampling ◽  
Random Variable ◽  
Simple Random Sampling ◽  
Sample Entropy ◽  
Continuous Random Variable ◽  
Mean Squared Errors ◽  
New Novel ◽  
Theoretical Results ◽  
Test For Normality ◽  
Better Than

This paper presents some novel entropy estimators of a continuous random variable using simple random sampling (SRS), ranked set sampling (RSS), and double RSS (DRSS) schemes. The theoretical results of the proposed entropy estimators are derived. The proposed entropy estimators are compared in terms of the bias and the root mean squared errors, theoretically and numerically, with the Vasicek O. [A test for normality based on sample entropy, J. R. Stat. Soc. B 38:54–59, 1976.] entropy estimators using SRS, RSS, and DRSS schemes. It turns out that the new novel entropy estimators are substantially better than the existing Vasicek’s entropy estimators.

scholarly journals Efficient Estimator of a Finite Population Mean Using Two Auxiliary Variables and Numerical Application in Agricultural, Biomedical, and Power Engineering

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Jingli Lu
Keyword(s):  
Random Sampling ◽  
Finite Population ◽  
Simple Random Sampling ◽  
Power Engineering ◽  
Comparison Study ◽  
Auxiliary Variables ◽  
Numerical Application ◽  
Population Mean ◽  
Theoretical Results ◽  
Better Than

To improve the efficiency of an estimator with two auxiliary variables, we propose a new estimator of a finite population mean under simple random sampling. The bias and mean square error expressions of the proposed estimator have been obtained. In a comparison study, we found that the new estimator was consistently better than those of Abu-Dayyeh et al., Kadilar and Cingi, and Malik and Singh, as well as the regression estimator using two auxiliary variables, and that the minimum MSE values of the previous three above reported estimators were equal. We used four numerical examples in agricultural, biomedical, and power engineering to support these theoretical results, thus enriching the theory of survey samples by the development of new estimators with two auxiliary variables.

Ratio-Type Estimation Using Scrabled Auxiliary Variables in Stratification Under Simple Random Sampling and Ranked Set Sampling

2022 ◽  
pp. 62-85
Author(s):  
Carlos N. Bouza-Herrera ◽  
Jose M. Sautto ◽  
Khalid Ul Islam Rather
Keyword(s):  
Random Sampling ◽  
Mean Squared Error ◽  
Simple Random Sampling ◽  
Ranked Set Sampling ◽  
Auxiliary Variables ◽  
Mild Conditions ◽  
Squared Error ◽  
The Mean ◽  
Better Than

This chapter introduced basic elements on stratified simple random sampling (SSRS) on ranked set sampling (RSS). The chapter extends Singh et al. results to sampling a stratified population. The mean squared error (MSE) is derived. SRS is used independently for selecting the samples from the strata. The chapter extends Singh et al. results under the RSS design. They are used for developing the estimation in a stratified population. RSS is used for drawing the samples independently from the strata. The bias and mean squared error (MSE) of the developed estimators are derived. A comparison between the biases and MSEs obtained for the sampling designs SRS and RSS is made. Under mild conditions the comparisons sustained that each RSS model is better than its SRS alternative.

Forest inventory estimation with mapped plots

2004 ◽  
Vol 34 (2) ◽  
pp. 493-497 ◽  
Author(s):  
Paul C Van Deusen
Keyword(s):  
Forest Inventory ◽  
Random Sampling ◽  
Simple Random Sampling ◽  
Mean Squared Errors ◽  
Additional Work ◽  
Fixed Area ◽  
Plot Design

Procedures are developed for estimating means and variances with a mapped-plot design. The focus is on fixed-area plots, and simulations are used to validate the proposed estimators. The mapped-plot estimators for means and variances are compared with simple random sampling estimators that utilize only full plots. As expected, the mapped-plot estimates have smaller mean squared errors than the simple random sampling estimates. The theory for fixed-area plots is easy to apply, although additional work is required to map plots in the field. Corresponding theory for variable plots is developed but not tested with simulations. The difficulty of applying these methods to variable plots is greater, but not prohibitive.

scholarly journals Pengaruh Model Pembelajaran Auditory Intellectually Repetition terhadap Kemampuan Pemahaman Konsep Matematis

2019 ◽  
Vol 3 (1) ◽  
pp. 87
Author(s):  
Siti Sarniah ◽  
Chairul Anwar ◽  
Rizki Wahyu Yunian Putra
Keyword(s):  
Junior High School ◽  
Random Sampling ◽  
Hypothesis Test ◽  
Simple Random Sampling ◽  
Control Group ◽  
Learning Models ◽  
Mathematical Concepts ◽  
Control Group Design ◽  
Group Design ◽  
Better Than

Penelitian ini bertujuan untuk mengetahui apakah peningkatan kemampuan pemahaman konsep matematis siswa dengan model pembelajaran Auditory Intellectually Repetition (AIR) lebih baik dari pada siswa yang menggunakan model pembelajaran yang biasa digunakan oleh guru. Penelitian ini menggunakan penelitian kuantitatif, dengan metode eksperimen semu. Desain yang digunakan adalah Pretest-Posttest Control Group Design. Populasinya adalah seluruh siswa kelas VIII di salah satu SMP Lampung Selatan. Simple random sampling merupakan teknik dalam pengambilan sampel pada penelitian ini. Kelas VIII A sebagai kelas eksperimen dan kelas VIII B sebagai kelas kontrol. Berdasarkan hasil uji hipotesis N-gain kemampuan pemahaman konsep matematis pada materi relasi dan fungsi diperoleh bahwa kemampuan pemahaman konsep matematis siswa dengan model pembelajaran Auditory Intellectually Repetition (AIR) lebih baik dari pada siswa yang menggunakan model pembelajaran biasa. Kata kunci: Auditory Intellectually Repetition, pemahaman konsep.   ABSTRACT This study aims to determine whether the increasing of students mathematical concepts understanding on the class with Auditory Intellectually Repetition (AIR) model is better than on the class with usual learning models. This study is a quantitative research by using the quasi-experimental method. The design is Pretest-Posttest Control Group Design. The population is all of eighth grade students of a Junior High School in South Lampung. Simple random sampling technique is used to get the sample. The VIII A class is the experimental class and VIII B class is the control class. Based on the results of the N-gain hypothesis test of the ability to understand mathematical concepts in relation and function material, the understanding of students' mathematical concepts with the Auditory Intellectually Repetition (AIR) learning model is better than students who use usual learning models. Keywords: Auditory Intellectually Repetition, concept understanding.

scholarly journals Metode Pembelajaran “Make A Match” Dan Pengaruhnya Terhadap Hasil Belajar IPA

2018 ◽  
Vol 5 (1) ◽  
pp. 37
Author(s):  
Rina Hidayati Pratiwi
Keyword(s):  
Random Sampling ◽  
Simple Random Sampling ◽  
Quality Of Education ◽  
Average Score ◽  
Homogeneity Test ◽  
Teaching Activities ◽  
Study Results ◽  
The Impact ◽  
Better Than

<p>Almost of unspecifically studying methods have been applied teacher for teaching activities. That methods have effected unefficiency for knowledge transferring to student. That is the reason how we need studying methods that efficient, creative and innovative. The purpose of this study is for knowing the studying methods  “Make A Match” and how the impact to result study specifically for natural science. We use purpose sampling technics to definite research class and simple random sampling to definite part of sample of each class. The average score of experiment class are higher than control class. The different of both class is three point with normal distribution for each class and from homogeneity test showed that F hit = 1,163. Both of them have homogeneous varians. The average point of experiment class are higher than control class too. T-test showed  t hit &gt; t table (3,614 &gt; 1,69). Thus, the studying methods  “Make a Match” could raised the study results better than conventional methods. As the result, the quality of education can be more improved agree with contain and the purpose of studying in the school.</p>

scholarly journals ANALISIS BERPIKIR KRITIS MATEMATIS BERDASARKAN PEMBELAJARAN STUDENT FACILITATOR AND EXPLAINING KEMANDIRIAN BELAJAR PESERTA DIDIK

2020 ◽  
Vol 3 (2) ◽  
pp. 69-77
Author(s):  
Ahmad Abdul Azis ◽  
Yuberti Yuberti ◽  
Indah Resti Ayuni Suri
Keyword(s):  
Critical Thinking ◽  
Random Sampling ◽  
Mathematical Thinking ◽  
Simple Random Sampling ◽  
Thinking Skills ◽  
Learning Models ◽  
Self Reliance ◽  
Quasi Experimental ◽  
Learning Data ◽  
Better Than

The purpose of this research is to analyze student facilitators and explaining models on critical thinking mathematically. Analyzing the level of self-reliance learning on critical math learners' ability, analyzing student facilitators' interaction, and explaining critical thinking critical math and self-reliance learners. Research conducted in class X SMK Muhamadiyah 2 Bandar Lampung. This type of research is Quasi-Experimental Design. Sampling techniques are done in a simple Random Sampling; data collection techniques are conducted through tests and nontest. The type of test to think critically about mathematical mathematics is an objective test that is a matter of description (essay), testing this hypothesis using variance analysis (ANAVA) Two paths with unequal cells. The results of learning data analysis of Student Facilitator and Explaining the ability of critical thinking mathematically better than conventional learning models. The high learning of students, the better the ability to think critically of students mathematically. There is no interaction between Student Facilitator and Explaining learning models and the self-reliance learning level towards learners' mathematical thinking skills.   Tujuan penelitian ini ialah menganalisis model Student Facilitator and Explaining terhadap berpikir kritis matematis, menganalisis kemampuan berpikir kritis matematis kemandirian belajarerhadap peserta didik, menganalisis interaksi Student Facilitator and Explaining terhadap berpikir kritis matematis dan kemandirian peserta didik.Penelitian dilakukan di kelas X SMK Muhamadiyah 2 Bandar Lampung.Jenis penelitian Quasi Experimental Design.Pengambilan sampel dilakukan secara Simpel Random Sampling. Teknik pengumpulan data dilakukan melalui tes dan non tes. Jenis tes untuk Berpikir Kritis Matematis matematika adalah tes obyektif yaitu berupa soal (essay). Pengujian hipotesis ini dengan analisis variansi (ANAVA) dua jalan dengan sel tak sama. Adapun hasil analisis data pembelajaran Student Facilitator and Explaining terhadap kemampuan berpikir kritis lebih baik dari model pembelajaran konvensional. tingginya kemandrian belajar peserta didik maka semakin baik kemampuan berpikir kritis peserta didik. Tidak terdapat interaksi antara model pembelajaran Student Facilitator and Explaining dan tingkat kemandirian belajar terhadap kemampuan berpikir kritis peserta didik.

Ranked set sampling on estimation of P[Y

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Marwa Kh. Hassan
Keyword(s):  
Head And Neck Cancer ◽  
Confidence Interval ◽  
Head And Neck ◽  
Neck Cancer ◽  
Random Sampling ◽  
Simple Random Sampling ◽  
Ranked Set Sampling ◽  
Bootstrap Confidence Interval ◽  
Content Type ◽  
Better Than

PurposeDistribution. The purpose of this study is to obtain the modified maximum likelihood estimator of stress–strength model using the ranked set sampling, to obtain the asymptotic and bootstrap confidence interval of P[Y < X], to compare the performance of author’s estimates with the estimates under simple random sampling and to apply author’s estimates on head and neck cancer.Design/methodology/approachThe maximum likelihood estimator of R = P[Y < X], where X and Y are two independent inverse Weibull random variables common shape parameter that affect the shape of the distribution, and different scale parameters that have an effect on the distribution dispersion are given under ranked set sampling. Together with the asymptotic and bootstrap confidence interval, Monte Carlo simulation shows that this estimator performs better than the estimator under simple random sampling. Also, the asymptotic and bootstrap confidence interval under ranked set sampling is better than these interval estimators under simple random sampling. The application to head and neck cancer disease data shows that the estimator of R = P[Y < X] that shows the treatment with radiotherapy is more efficient than the treatment with a combined radiotherapy and chemotherapy under ranked set sampling that is better than these estimators under simple random sampling.FindingsThe ranked set sampling is more effective than the simple random sampling for the inference of stress-strength model based on inverse Weibull distribution.Originality/valueThis study sheds light on the author’s estimates on head and neck cancer.

scholarly journals EFFICIENCY EVALUATION OF RATIO ESTIMATORS IN SIMPLE RANDOM SAMPLING

2019 ◽  
pp. 103-113
Author(s):  
Tanu ◽  
Manoj Kumar ◽  
P K Muhammed Jaslam
Keyword(s):  
Random Sampling ◽  
Simple Random Sampling ◽  
The Other ◽  
Efficiency Evaluation ◽  
Population Mean ◽  
Ratio Estimators ◽  
Efficiency Comparison ◽  
Pair Wise Comparison ◽  
Efficiency Conditions ◽  
Better Than

In literature, several ratio type estimators of population mean were proposed by statisticians but none of them made pair wise comparison of these estimators. In this paper an attempt has been made for pair wise efficiency comparison of the same and find out the different conditions on which one estimator performed better than the other. Depending on the structure of data used, the efficiency comparison of these estimators is varied in certain circumstances. In this study we have revealed the efficiency conditions of the existing ratio estimators, through pair wise comparisons and examine the relative performance of ratio estimators in terms of efficiency and unbiasedness empirically.  

scholarly journals Perbedaan Hasil Belajar Statistika antara Model Pembelajaran Kooperatif Tipe NHT dengan TPS

2017 ◽  
Vol 8 (1) ◽  
pp. 8-14
Author(s):  
Poppy Amalia ◽  
Edy Surya
Keyword(s):  
Cooperative Learning ◽  
Random Sampling ◽  
Simple Random Sampling ◽  
Sixth Grade ◽  
Learning Model ◽  
Class A ◽  
Class B ◽  
Calculation Results ◽  
Quasi Experimental ◽  
Better Than

Penelitian ini bertujuan untuk menunjukkan bahwa hasil belajar statistika dengan menerapkan model pembelajaran kooperatif tipe NHT (Number Head Together) lebih baik daripada TPS (Think Pair Share) pada siswa kelas X SMK. Jenis penelitian ini adalah eksperimen semu yang populasinya adalah seluruh siswa kelas X Semester II. Pengambilan sampel dilakukan dengan cara simple random sampling dengan mengambil 2 kelas dari 6 kelas secara acak yaitu kelas X TKR-1 sebagai kelas eksperimen A dan kelas X TKR-3 sebagai kelas eksperimen B, dimana kelas eksperimen A menerapkan model pembelajaran kooperatif tipe NHT dan kelas eksperimen B menerapkan model pembelajaran kooperatif tipe TPS. Hasil Perhitungan diperoleh thitung = 3,32447 dan ttabel = 1,67078sehingga thitung > ttabel pada taraf nyata 0,05 maka hipotesis diterima.Dengan demikian diperoleh kesimpulan bahwa hasil belajar statistika antara model pembelajaran kooperatif tipe NHT lebih baik daripada TPS pada siswa kelas XThis research aims to demonstrate that the results of the statistical learning by applying cooperative learning model NHT better than TPS in class X SMK. This research was quasi experimental. The populationof the research was all students of class X semester II. Sampling was done by simple random sampling by taking two classes of sixth grade were randomly ie class X TKR-1 as the experimental class A and class X TKR-3 as the experimental class B, where the experimental class A implement cooperative learning model NHT and class experiment and implement cooperative learning model TPS. Calculation results obtained tcalculate = 3.32447 and ttable= 1.67078 so tcalculate>ttablethe real level of 0.05, the hypothesis was accepted. Thus we concluded that the results of a statistical study between cooperative learning model NHT better than TPS in class X.

scholarly journals Edmodo as An Online Instructional Delivery Technique for Sustaining Teaching and Learning Activities in Covid-19 Era in Public Universities in North-Central, Nigeria

2021 ◽  
Vol 1 (2) ◽  
pp. 54-61
Author(s):  
Martin Afen Olofu ◽  
Paul Agbade Olofu
Keyword(s):  
Random Sampling ◽  
Teaching And Learning ◽  
Public Universities ◽  
Simple Random Sampling ◽  
Instructional Delivery ◽  
Learning Activities ◽  
Control Group ◽  
North Central ◽  
Delivery Technique ◽  
Better Than

This study centered on Edmodo as an online instructional delivery technique for sustaining teaching and learning activities in covid-19 era in public universities in North-Central, Nigeria. The study was guided by two objectives and two research questions and one hypothesis. This study adopted descriptive survey and quasi-experimental research designs. The sample of the study comprised 100 students in two universities (each for treatment and control groups) and 7008 lecturers drawn from three public universities in North-Central, Nigeria. Stratified and simple random sampling techniques were used for selecting universities and the sample of the study. First, stratified sampling was used to group both lecturers and students into two strata. Thereafter, simple random sampling was used to select the universities and sample of the study; using lottery method with replacement. 10% proportionate sample was used to select the lecturers. Curriculum Studies Achievement Test (C-SAT) and questionnaire were used as instruments for data gathering. Data collected were analyzed with simple percentage, mean and t-test statistical techniques. Finding showed that the level of awareness of university lecturers on Edmodo as a technological instructional delivery technique is very low or poor. It was also indicated that there is significant difference between the mean achievement scores of university students taught curriculum studies with Edmodo and their counterparts taught with lecture technique; as those in the treatment group performed better than those in control group. The study recommended that: school management, the government and ICT-related Non-governmental organizations should help in organizing workshops and seminars for lecturers in order to advance their knowledge and awareness on ICT usage especially Edmodo and others. Also, since the students who were taught with Edmodo significantly performed better than their counterparts in the control group who were taught with lecture method, lecturers should be encouraged to use Edmodo for teaching and learning.

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