Browsing by Author "Harison"
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Item ANUITAS AKHIR MENGGUNAKAN FORMULA WOOLHOUSE UNTUK STATUS HIDUP GABUNGAN(2013-04-24) Humairah, Reni; Hasriati; HarisonThis paper discusses Woolhouse’s formula developed from a book by Dickson, Hardy and Waters [1]. Woolhouse’s formula derived from the Euler-Maclaurin formula approach. Woolhouse’s formula used to determine the cash value of annuity with payments m times a year. Cash values of annuity determined are cash value of life annuity and cash value of deposit annuity with payment at the end of the period for joint life status.Item CADANGAN ASURANSI JIWA CONTINGENT BERDASARKAN DISTRIBUSI GOMPERTZ(2016-02-04) Rohmah, Miftakhur; Hasriati; HarisonThis article discusses the reserve life insurance contingent based on the Gompertz distribution at the age of x and y . Contingent life insurance is an insurance whose payments based on the sequence of the deceased insured. Life insurance also uses the compound contingent function, that is a function affected by the order of probability of delay of death. Calculation of the reserve contingent life insurance is only for two cases, if x dies before y and if x dies after y . This calculation is obtained by prior determining a premium and annuity due based on the Gompertz distribution.Item CADANGAN PROSPEKTIF ASURANSI JIWA DWIGUNA DENGAN ASUMSI SERAGAM(2014-03-25) Margaretta, Rosalina; Hasriati; HarisonThis article discusses the calculation of the prospective reserve of an endowment life insurance with uniform assumption for individual life status. The uniform assumption is an assumption that takes the uniform distribution for the probability density function, hence it can be used in a reserve premium calculation. The reserve premium available in life insurance company is influenced by how big the premium is paid by an insurance client.Item KOMBINASI PENAKSIR RASIO YANG EFISIEN UNTUK RATA-RATA POPULASI PADA SAMPLING BERPERINGKAT MENGGUNAKAN KOEFISIEN VARIASI DAN KOEFISIEN KURTOSIS(2014-03-25) Purwasih, W. E.; Harison; Sirait, HEstimators discussedare combination of ratio estimatorsin ranked set sampling using coefficient of variation and coefficient of kurtosis. Each estimator is biased estimatorand the mean square errors are determined. Estimator with thesmallest mean square error is an efficient estimator.An example is given at theend of discusssionItem PENAKSIR RASIO YANG EFISIEN UNTUK RATA-RATA POPULASI PADA SAMPLING ACAK SEDERHANA MENGGUNAKAN MEDIAN DAN KOEFISIEN KURTOSIS(2014-03-25) Sabariah, S.; Harison; Sirait, H.This article discusses two ratio estimators for the population mean in simple random sampling using the auxiliary variable of the median and coefficient of kurtosis and linear combination of ratio estimators. All estimators are biased estimator, then the mean square errors are determined. Furthermore, the mean square errors of each estimators are compared for showing which one is the efficient estimator. An numerical example is given to explain the problem discussed.Item PENAKSIR RASIO YANG EFISIEN UNTUK RATA-RATA POPULASI DENGAN MENGGUNAKAN DESIL PADA SAMPLING ACAK SEDERHANA(2014-03-25) Yanto; Harison; Sirait, HaposanThis paper studies three ratio estimators in simple random sampling by using the second decile, fifth decile and the eighth decile. This three ratio estimators are biased estimators. Their mean square errors are compared to find the most efficient estimator. The smallest mean square error of them is the most efficient estimator. A numerical example is given to explain the problem discussed.Item PENAKSIR RASIO YANG EFISIEN UNTUK RATA-RATA POPULASI DENGAN MENGGUNAKAN DUA VARIABEL TAMBAHAN(2014-03-25) Vilwitri, Indah; Harison; Sirait, HaposanThis article discusses four ratio estimators for population mean using two auxiliary variables that are modified using the coefficient of variation and coefficient of kurtosis on simple random sampling. The four estimators are biased estimators and the minimum value of the mean square errors is determined. Furthermore, this minimum value is compared to the minimum value mean square error of each estimator. This comparison shows that the ratio estimator using coefficient of variation and the coefficient of kurtosis is more efficient than the traditional estimator using two auxiliary variablesItem PENAKSIR VARIANSI POPULASI YANG EFISIEN PADA SAMPLING ACAK SEDERHANA MENGGUNAKAN KOEFISIEN REGRESI(2016-04-27) Gustiana, Neneng; Efendi, Rustam; HarisonIn this article we review three estimators for the population variance in simple random sampling using regression coefficient and two auxiliary information. They were proposed by Gupta and Shabbir [2] which is a review of their article “Variance Estimation in Simple Random Sampling Using Auxiliary Information.” Bias of estimators and the mean square errors are determined. Furthermore, the mean square errors of each estimators are compared for showing which one is the efficient estimator. A numerical is given at the end of discusssion.Item PENSIUN NORMAL MENGGUNAKAN MODEL TINGKAT BUNGA COX INGERSOLL ROSS(2016-04-27) Putri, Ria Dewi; Hasriati; HarisonThis article discusses the normal pension for Defined Benefit Pension Plan using the interest rate model of Cox Ingersoll Ross, where the parameter in the model is estimated using maximum likelihood methods. Pension benefits to be received by the pension insurance participants are determined based on the final salary of the participant, and all pension benefits are paid at the time of participants retires. To determine the normal cost to be paid by participants and actuarial liabilities of the Pension Fund is used the Projected Unit Credit.Item PERBANDINGAN PENAKSIR REGRESI LINIER SEDERHANA PADA SAMPLING BERPERINGKAT, SAMPLING EKSTRIM BERPERINGKAT DAN SAMPLING MEDIAN BERPERINGKAT(2014-03-25) Aritonang, E. W.; Harison; Efendi, R.This paper discusses the efficient sampling methods to ranked set sampling, extreme ranked set sampling, and median ranked set sampling for simple linear regression estimators whose population mean known with concomitant variables. This paper is a review of article “Regression Estimator in Extreme and Median Ranked Set Sampling “ by Muttlak. Their relative efficiency have been compared in order to find the most efficient estimatorItem PREMI ASURANSI JIWA DWIGUNA DENGAN MODEL TINGKAT BUNGA DOTHAN(2016-02-04) Hayati, Bismi; Hasriati; HarisonThis article studies the model of Dothan interest rate used in determining the annual premium endowment life insurance using Makeham law. Dothan interest rate model is a model of the equilibrium interest rate having lognormal distribution and constantly changing from time to time which is expressed with a stochastic differential equation following the model of geometric Brownian motion. The determination of Dothan interest rate model parameter estimation uses MLE (maximum likelihood estimation) then continued with numerical approach using Newton's methodItem Workshop Pendalaman Materi Statistika dalam Pembelajaran Matematika Tingkat SMP/M,Ts di Kecamatan Tapung Kabupaten Kampar(2013-04-19) Efendi, Rustam; Harison; Haposan; MusrainiWorkshop Pendalaman Materi Statistika ini memberikan pemahaman konsep Statistika secara benar pada proses belajar mengajar dikelas pada guru bidang studi matematika, meningkatkan penguasaan materi Statistika pada guru bidang studi matematika dan memotivasi guru-guru untuk bisa berinovasi dengan mengilustrasikan dalam menyampaikan materi kepada siswa agar siswa tertarik kepada pelajaran Matematika. Kegiatan pelatihan ini dilaksanakan di SMP Negeri 6 Tapung Kecamatan Tapung Kabupaten Kampar, dalam bentuk: ceramah, diskusi dan latihan-latihan dalam menyelesaaikan berbagai bentuk persoalan yang berhubungan dengan pemahaman konsep Statistika.