Let Knots be the abelian monoid of isotopy classes of knots S ⊂ S under connected sum, and let C be the topological knot concordance group of knots modulo slice knots. Cochran-OrrTeichner [COT03] defined a filtration of C: C ⊃ F(0) ⊃ F(0.5) ⊃ F(1) ⊃ F(1.5) ⊃ F(2) ⊃ . . . The quotient C/F(0.5) is isomorphic to Levine’s algebraic concordance group AC1 [Lev69]; F(0.5) is the algebraically slice kn...

The two one-sided tests (TOST) procedure is the common method for assessing bioequivalence between different drugs or formulations of same drug. Several solutions to Behrens-Fisher problem have been extended establish statistical equivalence under variance heterogeneity. Unlike other existing studies that rely exclusively on simulation results, analytical formulas power and Type I error rate ar...

the serious obstacles to improve water supply, has caused world debates, seeking some solutions to tackle the problem of shortages in water supply. t. therefore, programs and policies have focused mainly on appropriate pricing approachof. since the water industry in iran has been monopolized by the government, an effective pricing approach is assumed to maximize the social welfare with consider...

Drawing of random sample is one of the most important components of almost every. The scientific method of selecting a random sample consists of the use of random number table. Several tables of random numbers have already been constructed by the renowned researchers. Some of them are (in chronological order) due to Tippett [1], Mahalanobis [2], Kendall & Smith [3,4], Fisher & Yates [5], Hald [...

agriculture as one of the major economic sectors of iran, has an important role in gross domestic production by providing about 14% of gdp. this study attempts to forecast the value of the agriculture gdp using periodic autoregressive model (par), as the new seasonal time series techniques. to address this aim, the quarterly data were collected from march 1988 to july 1989. the collected data w...