• International Journal of Reliability and Applications
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• v.18 no.2
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• pp.83-98
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• 2017

Stress-strength reliability problems arise frequently in applied statistics and related fields. In the context of reliability, the stress-strength model describes the life of a component, which has a random strength X and is subjected to random stress Y. The component fails at the instant that the stress applied to it exceeds the strength and the component will function satisfactorily whenever X > Y. The problem of estimation the reliability parameter in a stress-strength model R = P[Y < X], when X and Y are two independent two-parameter Lindley random variables is considered in this paper. The maximum likelihood estimator (MLE) and Bayes estimator of R are obtained. Also, different confidence intervals of R are obtained. Simulation study is performed to compare the different proposed estimation methods. Example in real data is used as practical application of the proposed procedure.

• Asian-Australasian Journal of Animal Sciences
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• v.14 no.9
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• pp.1233-1237
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• 2001

A study was conducted to determine the effects of maturity at harvest and wilting days on the quality of round baled rye (Secale cereale L.) silage. This study was a $3{\times}3$ factorial arrangement in a split plot design with 3 replicates. The main plot was 3 harvesting dates at the stage of boot (20 Apr.), heading (29 Apr.) and flowering (14 May). The subplot was wilting day : 0 (unwilted), 0.5 and 1 day (0, 1, and 2 days at boot stage). Acid detergent fiber (ADF) and neutral detergent fiber (NDF) contents of rye silage were significantly greater than those of rye before ensiling, but crude protein (CP) content and in vitro dry matter digestibility (IVDMD) were vice versa. Buffering capacity (BC) of rye harvested at flowering stage was decreased from 264 to 202 meq/kg at 1 day wilting, however, it was increased when harvested at boot or heading stage. The pH in wilted silage was the highest while that of flowering stage was the lowest. Water soluble carbohydrate (WSC) content of wilting rye was lower than that of unwilted, and the lowest at late harvesting stage. All plots had minimal WSC content for silage fermentation. Wilting treatment and delayed harvesting date caused an increase in dry matter (DM) content of round bale silage. The content of ammonia-N expressed as a portion of total N showed negative correlation with DM content. High quality silage according to ammonia-N content could be obtained from mid-harvest with wilting. There were highly significant differences in each organic acid between harvesting dates and wilting periods. Acetic and butyric acid contents were increased with delayed harvesting and prolonged wilting period, the lactic acid content, however, was decreased. This study demonstrated that harvest of rye from heading to flowering stage with wilting would be a recommendable method for making high quality rye silage using round bale system.

• Journal of Animal Science and Technology
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• v.47 no.5
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• pp.877-890
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• 2005

This study was carried out to determine the effect of different growing stages of winter cereal crops on the quality of silage materials and silages. Silages were made from the silage materials harvested at four growing stages(boot, heading, flowering, and yellow ripe) of barley, rye, oat, and wheat. Approximately 1 kg of silage materials harvested from each growing stage stored in vinyl bags with vacuum packing method and fermented at room temperature for 40 days. As the growing stages progressed, the moisture and crude protein contents of the silage materials decreased, and fiber contents(NDF, ADF and hemicellulose) increased. All the silage materials showed significantly higher contents of water soluble carbohydrate in the boot stages than in the flowering and yellow ripe stages. There was no tendency in acetic acid contents of silage materials cut at different growing stages. The overall pH of silage materials were in the range of 5.91-6.01, and there was no significant difference among growing stages. Buffering capacity of silage materials were in the range of 26.23-29.47meq/100g DM, and showed a tendency to decline as the growing stages proceeded. The moisture and crude protein contents of silages decreased significantly in all species as the growing stages proceeded, and the fiber contents vice versa. As the growing stages proceeded, the pH of the silages tended to increase, and the acetic, butyric, and lactic acid contents tended to decrease. The buffering capacity of silages had a tendency to decrease as the growing stages of winter cereal crops proceeded. Therefore, these features described above should be taken into consideration in order to make silages from winter crops economically.