82,951 research outputs found
An extension and application of a result of Aras and Woodroofe.
No full textAbstract: Aras and Woodroofe (1993) provide asymptotic expansions of the first four moments of where , , . Here is a driftless random walk in an inner product space , , and are slowly changing. The first part of this paper supplies similar expansions for stopping time where is a random variable. Stopping times of this form arise naturally from the sequential sampling scheme of Liu (1997). The general result is illustrated by an example. The second part of this paper applies Aras and Woodroofe's (1993) result directly to extend Woodroofe's (1977) result on second order expansion of risk from the normal distribution to the bounded density case. Let be independent observations from a population with mean and variance . The basic problem is to estimate by the sample mean given a sample of size , subject to the loss function . If is known, the fixed sample size that minimizes the risk is given by , with the corresponding minimum risk . However, when is unknown, there is no fixed sample size rule that will achieve the risk . For this case the stopping rule can be used, and the population mean is then estimated by . Martinsek (1983) obtained the second order expansion of the risk of this sequential estimation procedure, assuming the initial sample size at a certain rate (but without specifying the form of distribution). If the initial sample size is assumed to be prefixed, the second order expansion of the risk has been established by Woodroofe (1977) but only for normally distributed . The present paper provides the second order expansion of the risk under assumptions that is prefixed and that the is continuous with a bounded probability density function
Immanus trolaki Beaver & Sittichaya & Liu 2019, n. comb.
No full textImmanus trolaki (Schedl) n. comb. Xyleborus trolaki Schedl, 1939: 350. Ambrosiodmus trolaki (Schedl): Wood & Bright, 1992: 681. Diagnosis: Elytral declivity steeply truncate with a distinct marginal costa laterally, but not in upper part of declivity, its face opaque, covered with fine, setose granules on both striae and interstriae so that they are not easily distinguished. Second interstriae not raised on declivity with two large tubercles in mid-declivity. Anterior margin of pronotum with 6‒8 separate asperities. Small species, 4.0 mm long. Taxonomy: The senior author has examined a paralectotype (BMNH). The species has the characters of Immanus, and is therefore transferred to that genus from Ambrosiodmus. Distribution: East and West Malaysia. Biology: Recorded from Lophopetalum (Celastraceae) and Cinnamomum (Lauraceae) (Schedl 1939).Published as part of Beaver, R. A., Sittichaya, W. & Liu, Y., 2019, A review of the genus Immanus Hulcr & Cognato with a key to species (Coleoptera: Curculionidae: Scolytinae: Xyleborini), pp. 378-386 in Zootaxa 4585 (2) on page 385, DOI: 10.11646/zootaxa.4585.2.11, http://zenodo.org/record/263727
Capacity results for a class of deterministic Z-interference channels with unidirectional receiver conferencing
No full textWe study the Z-interference channel in which there is an additional orthogonal link from the interference-free receiver to the interfered receiver. We call this channel model the Z-interference channel with unidirectional receiver conferencing. We find the capacity region when the Z-interference channel belongs to the class of deterministic Z-interference channels studied by El Gamal & Costa in 1982. Our results show that in the presence of unidirectional receiver conferencing, it is still optimal for the interfering transmitter to use superposition encoding to control the amount of interference it causes. For the interference-free receiver, it is optimal to forward part of the decoded message over the orthogonal cooperation link. We further note that the same scheme is also optimal for another class of Z-interference channels studied by Liu & Goldsmith in 2009. © 2011 IEEE
A note on Hall's triple sampling procedure: a multiple sample second order sequential analogue of the Behrens-Fisher problem
No full textIn many statistical problems, the variances of the populations cannot be assumed to be equal. These inhomogeneity problems are often more difficult to handle than the corresponding homogeneity problems. In sequential estimation, this often means that only first order sequential procedures are available in the statistics literature for inhomogeneity problems. The purpose of this paper is to illustrate by using the classical Behrens–Fisher problem how to construct a second order sequential procedure using the batch sampling idea of Hall [Ann. Statist. 9 (1981) 1229–1238]; the cost of assuming variance inhomogeneity even when the two variances are equal turns out to be very limited. The approach of this paper can readily be applied to many other inhomogeneous problems.<br/
Measurement of the absolute rate of 1,2-hydrogen migration in benzylchlorocarbene
No full textPT: J; CR: ALTMANN JA, 1974, J AM CHEM SOC, V96, P4196 ALTMANN JA, 1975, J AM CHEM SOC, V97, P5217 BODOR N, 1972, J AM CHEM SOC, V94, P9103 GOULD IR, 1985, TETRAHEDRON, V41, P1587 GRAHAM WH, 1965, J AM CHEM SOC, V87, P4396 GRILLER D, 1982, J AM CHEM SOC, V104, P5549 JACKSON JE, 1988, J AM CHEM SOC, V110, P5595 JONES M, 1980, REACTIVE INTERMEDIAT, V2 JONES WM, 1987, REARRANGEMENTS GROUN, V1, CH8 KIRMSE W, 1971, CARBENE CHEM KYBA EP, 1977, J AM CHEM SOC, V99, P8330 LEOPOLD DG, 1984, J CHEM PHYS, V81, P1048 LIU MTH, 1985, J CHEM SOC CHEM COMM, P982 LIU MTH, 1986, J PHYS CHEM-US, V90, P75 MCKELLAR ARW, 1983, J CHEM PHYS, V79, P5265 MOSS RA, 1980, ACCOUNTS CHEM RES, V13, P58 MURRAY KK, 1988, J CHEM PHYS, V89, P5442 NOBES RH, 1980, CHEM PHYS LETT, V74, P269 RAGHAVACHARI K, 1982, CHEM PHYS LETT, V85, P145 SCHAEFER HF, 1979, ACCOUNTS CHEM RES, V12, P288 SOUNDARARAJAN N, 1988, J AM CHEM SOC, V110, P7143 STEVENS IDR, 1988, TETRAHEDRON LETT, V30, P481 SU DTT, 1978, J AM CHEM SOC, V100, P1872 TOMIOKA H, 1984, J AM CHEM SOC, V106, P454 TOMIOKA H, 1984, J CHEM SOC CHEM COMM, P476 WARNER PM, 1984, TETRAHEDRON LETT, V25, P4211; NR: 26; TC: 56; J9: J AMER CHEM SOC; PG: 2; GA: AM216Source type: Electronic(1
Benzylchlorocarbene: a new ambiphile
No full textPT: J; CR: GRAHAM WH, 1965, J AM CHEM SOC, V87, P4396 LIU MTH, 1985, J CHEM SOC CHEM COMM, P982 LIU MTH, 1985, TETRAHEDRON LETT, V26, P3071 LIU MTH, 1987, CHEM DIAZIRINES, CH5 LIU MTH, 1987, J ORG CHEM, V52, P4223 MOSS RA, 1985, REACTIVE INTERMEDIAT, V3 MOSS RA, 1986, J AM CHEM SOC, V108, P7028 MOSS RA, 1987, TETRAHEDRON LETT, V28, P4779 SOUNDARARAJAN N, 1988, J AM CHEM SOC, V110, P7143 TURRO NJ, 1987, J AM CHEM SOC, V109, P4973; NR: 10; TC: 7; J9: J CHEM SOC CHEM COMMUN; PG: 3; GA: T0046Source type: Electronic(1
The barrier for 1, 2-hydrogen shift in dialkyl carbenes
No full textPT: J; CR: 1987, CHEM DIAZIRINES AHMED MM, 1967, THESIS U SOUTHAMPTON ALTMANN JA, 1974, J AM CHEM SOC, V96, P4196 ALTMANN JA, 1975, J AM CHEM SOC, V97, P5217 BODAR N, 1972, J AM CHEM SOC, V94, P9103 CHURCH RFR, 1970, J ORG CHEM, V35, P2465 FRENKING G, 1984, TETRAHEDRON, V40, P2123 GRILLER D, 1983, J ORG CHEM, V48, P1359 ISAACS NS, 1987, PHYSICAL ORGANIC CHE, P602 JONES M, 1980, REACTIVE INTERMEDIAT, V2 JONES WM, 1980, REARRANGEMENTS GROUN, V1 KIRMSE W, 1971, CARBENE CHEM KYBA EP, 1977, J AM CHEM SOC, V99, P8330 LEATHARD DA, 1968, P ROY SOC LOND A MAT, V306, P553 LIU MTH, 1985, J CHEM SOC CHEM COMM, P982 LIU MTH, 1986, J PHYS CHEM-US, V90, P75 MANSOOR AM, 1966, TETRAHEDRON LETT, P1753 MOSS RA, 1978, J CHEM SOC CHEM COMM, P775 MOSS RA, 1980, ACCOUNTS CHEM RES, V13, P58 MOSS RA, 1984, TETRAHEDRON LETT, V25, P1023 NOBES RH, 1980, CHEM PHYS LETT, V74, P269 RAGHAVACHARI K, 1982, CHEM PHYS LETT, V85, P145 SCHAEFER HF, 1979, ACCOUNTS CHEM RES, V12, P288 SU DTT, 1978, J AM CHEM SOC, V100, P1872 TOMIOKA H, 1980, J AM CHEM SOC, V102, P7818; NR: 25; TC: 23; J9: TETRAHEDRON LETT; PG: 4; GA: T0716Source type: Electronic(1
Energy barrier for 1,2-hydrogen migration in benzylchlorocarbene
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The thermal decomposition of diazirines: 3-(3-methyldiazirin-3-yl)propan-1-ol and 3-(3-methyldiazirin-3-yl)propanoic acid
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