Teluk Buo mangrove forest is one of tourist destination in the Sumatera Barat Province. The input of pollutant originated from anthropogenic activities, however, reducing the water quality and as a consequence negatively affects the mangrove ecosystem as well as the associated organisms, including bivalves. To understand the community structure of bivalves in the mangrove ecosystem, a research …
There were many sago industries in the coastal area of the Tebing Tinggi Village that directly flow their liquid waste to open waters and thus pollute the waters. To understand the organic pollutant concentration based on COD and TOM parameters, a research was conducted on March-April 2017. Sampling was conducted in four stations, in the sago industry drainage canal (St 1), in the outlet of the…
This study aims to determine the effect of cash turnover, accounts receivable turnover and inventory turnover, both simultaneously and partially on the profitability of the Consumer Goods companies listed in Indonesian Stock Exchange period 2010 to 2014. The total number of listed compaies in the Consumer Goods sub-sector is 38 companies. Consumer Goods companies population who have the necessa…
Parathelphusa pardus is a new species of lowland freshwater crab from swamp area in the Sawah Village, Kampar District. Scientific information on growth patterns of the crab, however, is almost none. To understand the growth patterns of this crab, a research had been conducted from October-November 2016. There were 85 crabs , 11.01-38.08 mm carapace width (CW) and 0.5-18.5 gr body weight (BW) w…
The Kampar River received pollutants originated from anthropogenic activities along the river and thus negatively affect the water quality in general. To understand the water quality of the river based on periphyton community structure and WQI-NSF Index, a research was conducted from January to March 2017. There were five (5) sampling points. Water samples were taken 3 times/ week. Water qualit…
Linear Black-Scholes equation is one of the models to determine the European type call option and put option. This final project explains the determination of solution of linear Black-Scholes equation transformed into heat equation. The analytic solution is determined by Fourier transformation. Then the numerical solution is determined by backward finite difference methods. This two method…
Many activities in Maninjau Lake contribute the input of organic and anorganic matter that affects the water quality, especially nutrient concentration in waters. A research aims to understand the trophic state of Maninjau Lake based on TSI has been conducted on January to February 2017. There were 4 stations, namely, Station 1 (bay area), Station 2 (inlet area), Station 3 (fish floating cages …
This final project discusses the annual premium whole life insurance on the joint life by using Frank copula distribution and using rate Cox Ingersoll Ross. The calculation of the annual premium is obtained by annuity present value and single premium. Solving the annuity present value and single premium, the survival and curtate future lifetime must be known in advance. Keywords: Life insu…
This final project discusses a modified Newton’s method using a semi-closed quadrature. Analytically it is shown that the method is of order three. Computational tests using five test functions show that the proposed method is better than Newton’s method and Soheili’s Method in terms of the number of iterations needed to get an approximate root. Keywords: Newton method, Soheili metho…
Sago factory in the Tanjung Kulim Village usually flow the sago liquid waste directly to the Asam Strait and thus pollute the waters. A research aims to understand the sago waste water pollution load in the strait has been conducted in April 2017. There were 3 station, namely Station 1 (fresh liquid waste), Station 2 (in the drainage of sago factory) and Station 3 (Asam Strait area). Result sho…
This final project discusses the increases of the sequence ⌊k √ n⌋ for any fixed positive integer k. For the increases of the sequence, the simplified expressions value of n (mod k) is given. This is a review of some parts of Hyatt and Skayers [Journal of Combinatorial Number Theory, 15 (2015), 1-12]. Furthermore, we provide the difference between the upper bound and lower bound of …
This nal project is a review of Kadilar and Chingi [Journal of Modern Applied Statistical Method, 35 (2006), 111{115] which discusses three estimators of ratio population variances ^ S2 KC1, ^ S2 K C2 and ^ S2 KC3 of the population of variables Y using known auxiliary variables X on simple random sampling. The three estimators ^ S2 K C1, ^ S2 KC2 and ^ S2 KC3 are the modied of ratio…
This final project discusses two estimators, which are [(¯yFT )D]k=1 and [(¯yFT )D]k=2. These two estimators have variables Y and imputated auxiliary variables X. Then bias and means square error (MSE) are shown. Furthermore MSE of these two estimators are compared. This comparison shows that the estimator which has the smallest MSE is relatively efficient. Keywords: Imputation, missing …
This nal project discusses a prime factor q of an odd perfect number x satisfying the inequality q < (3x)1=3. This is a review of some parts of Acquaah and Konyagin's paper [International Journal of Number Theory, 8 (2012), 1537- 1540]. The result of a prime factor of an odd perfect number x is determined by using the concept of the relationship between sigma function and perfect number. …
This final project discusses the estimation of mean population with imputation in two-phase sampling. Imputation method is used to estimate the missing data. This paper is a review of the work of Thakur et al. [International Journal of Modern Engineering Research, 2 (2012), 3561-3571]. There are two estimators discussed and each estimator is a biased and unbiased. Variance or MSE minimum o…
This paper discusses the existence of iterative method for obtaining the least squares solution to the system Ax = b that have rank-decient. Since the system Ax = b is inconsistent, then a consistent system Mbx = bb, which is the augmented system associated with Ax = b, is used. Then an iterative method of the form (M + γE)bxi = γEbxi
This final project discusses the redeem value and benefit with Paid-Up method. Paid-Up redeem value and Paid-Up benefit are the evaluation of value received by participants for canceling the insurance policy contract before it expires. The calculation of Paid-Up redeem value and Paid-Up benefit can be solved by determining acquisition cost, adjusted premium, and life annuity using Pareto d…
This final project discusses a forecasting using Autoregressive Integrated Moving Average (ARIMA) model. The forecasting method is used to forecast the number of departure and arrival of domestic passengers, at PT. Angkasa Pura II the Branch Office of Sultan Syarif Kasim II Pekanbaru in 2016. The time series data generally contain trend and seasonal elements. Using R language, this study s…
This final project discusses Zillmer’s reserve in term of life insurance by using Rendleman-Bartter interest rate model. Interest rate model of Rendleman-Bartter is a lognormally distributed equilibrium one factor interest rate model and is expressed by stochastic differential equations that follow the Ito’s process. Interest rate models of Rendleman-Bartter has parameters μ and σ to…
This final project discusses the exponentiated Weibull distribution (EWD) with three parameters. This distribution is a modification of theWeibull distribution. The purpose of this research is to obtain the parameters estimate of the exponentiated Weibull distribution. Estimation method used is the maximum likelihood method. Parameter estimates of exponentiated Weibull distribution is used…