Webster's Revised Unabridged Dictionary
OE. sobben,; akin to AS. seófian, siófian, to complain, bewail, seófung, siófung, sobbing, lamentation; cf. OHG. sūftōn, sūftjōn, to sigh, MHG. siuften, siufzen, G. seufzen, MHG. sūft, a sigh, properly, a drawing in of breath, from sūfen, to drink, OHG. sūfan,. Cf. Sup
In literature:
And then she sobbed convulsively.
"The Day of Judgment" by Joseph Hocking
He was sobbing, but his sobs were like growls.
"The Manxman A Novel - 1895" by Hall Caine
She burst into an impetuous sob, and clung to him with both hands.
"Vagabondia" by Frances Hodgson Burnett
Welcome's frail shoulders quivered as she attempted to restrain her sobs.
"Little Lost Sister" by Virginia Brooks
Maysie soon got into bed, and, being alone in the dormitory, hid her face under the bed-clothes and sobbed.
"Fifty-Two Stories For Girls" by Various
A sobbing intake of breath announced failure.
"Frank of Freedom Hill" by Samuel A. Derieux
Then she began to sob and cry, and turned her back to Tetchen and hid her face in her hands.
"Linda Tressel" by Anthony Trollope
It was Mrs. Drayton's voice, thick with sobs.
"A Son of Hagar" by Sir Hall Caine
She stifles a sob, bangs through the door, and runs upstairs whistling.
"When the Birds Begin to Sing" by Winifred Graham
She replied with sobs, and he suddenly realized that these sobs were becoming fainter and fainter.
"The Son of Monte Christo" by Jules Lermina
In spite of the girl's reserve, a sob caught her breath at the touch of the warm lips.
"The Clansman" by Thomas Dixon
A sob welled up from her heart.
"The Fighting Edge" by William MacLeod Raine
Donald had one of the rare voices that carry the heart to laughter and to sobs.
"A Daughter of Raasay" by William MacLeod Raine
He climbed in and, sobbing all the way, paddled back to shore.
"The Trembling of a Leaf" by William Somerset Maugham
She choked back a sob as she mounted her horse again.
"The Wind Before the Dawn" by Dell H. Munger
In the field she threw herself down on the grass and broke into sobs.
"Nobody's Girl" by Hector Malot
Mother Gaillarde then marched up, and gave the poor child an angry shake: and that produced screams instead of sobbing.
"In Convent Walls" by Emily Sarah Holt
It was in one of those pauses of the wind that we heard a low sob under our windows.
"Daisy's Necklace" by Thomas Bailey Aldrich
She crept back into her corner sobbing in a subdued fashion.
"Absolution" by Clara Viebig
There was a rush for the door, a swish of draperies, a little sob from Lois, who was terrified.
"The Moving Finger" by E. Phillips Oppenheim
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In poetry:
In violet gold-hemm'd vest
Thou camest forth; too soon!
Fallen at thy feet, claspt to thy breast,
I struggle, sob, and swoon.
"Aletheia To Phraortes" by Walter Savage Landor
The great dark voice breaks with a sob
Across the womb of night;
Above your grave, the tom-toms throb
And the hills are weird with light.
"In Memory Of Col. Charles Young" by Countee Cullen
I stooped to the hoary wave
That wept on the darkening shore.
It sobbed to me: "Oh, be brave!
Whatever you do, or dare, or will,
Like me to go striving, unresting still."
"Overtasked" by Elizabeth Stuart Phelps Ward
O pause between the sobs of cares!
O thought within all thought that is;
Trance between laughters unawares!
Thou art the form of melodies,
And thou the ecstasy of prayers.
"To The Beloved" by Alice Meynell
`For sweet is the sorrow that sobs in song
When Love is stronger than Death is strong,
And the vanished Past a more living thing
Than the fleeting voice and the fickle wing.'
"The Passing Of Spring" by Alfred Austin
Then Bessy, that was of bewtye soe bright,
All cladd in gray russett, and late in the night
From father and mother alone parted shee,
Who sighed and sobbed for prettye Bessee.
"The Beggar's Daughter of Bednall-Green" by Anonymous British
In news:
A sobbing Rihanna has told Oprah Winfrey she felt protective of boyfriend Chris Brown after he beat her up more than three years ago and was concerned that everyone would think of him as a monster.
Aaron Paul will be a ' sobbing mess' when 'Breaking Bad' ends.
She sobs backstage as her marriage to Russell Brand falls apart during her world tour, and talks about her dashed desire for "fairy tale" romance.
No Trivia's Friday Five: Sobbing Computer Beats and Some Very Stupid Rapper Beef.
In the footage, the boy -- nicknamed Duoduo -- chases his father, sobs and begs to be picked up.
I'm literally sobbing in the studio.
"It was Anthony's voice," she said haltingly, her sobs echoing through the courtroom.
Rather than sob into your pillow about it, you can sort these problems out -- if you know how to solder .
The second woman grew emotional on the stand, visibly sobbing as she accused the officer of assaulting her while in uniform in 2010.
She may be an Academy Award winning actress married to one of the biggest rock stars in the world and have two gorgeous children, but Gwyneth Paltrow still has a lot to sob over.
WASHINGTON—Four-year-old Abigael Evans spoke for millions when she sobbed, "I'm tired of Bronco Bamma and Mitt Romney.".
The American shot put standout didn't get to sob as he sang along with the words, a gold medal dangling from his neck.
A sob-free look on the bright side of an empty nest.
Abbie Hoffman sobbed that fateful night at the downtown Manhattan apartment of fellow activist Jerry Rubin.
Saying he would trade his life for the lives of his two victims "in a heartbeat," Mark Chalin sobbed Monday as he begged a judge to not send him to prison for a 2011 crash that killed two women.
***
In science:
By deﬁnition in the limit h → 0 sobs = S (yobs) with probability 1, and πABC (θ|sobs) = π(θ|sobs ).
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
Furthermore EABC(θ|sobs ) = Z θπ(θ|sobs)dθ, = Z Z θπ(θ|y)π(y|sobs)dydθ, where π(y|sobs) is the conditional distribution of the data y given the summary statistic sobs .
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
Finally by deﬁnition, all y that are consistent with sobs satisfy R θπ(θ|y)dθ = E(θ|yobs ), and hence the result follows.
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
If S(yobs ) = E(θ|yobs ) then for smal l h the expected quadratic loss associated with ˆθ = EABC (θ|sobs ) is E(L(θ, ˆθ; A)|yobs) = trace(AΣ) + h2 Z xT AxK (x)dx + o(h2).
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
Proof: The idea is that EABC(θ|sobs ) = sobs + o(h); and the squared error loss based on ˆθ = sobs is just trace(AΣ) + h2 R xT AxK (x)dx.
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
The key difference is that our approach uses linear regression to construct the summary statistics, whereas Beaumont et al. (2002) uses linear regression to reduce the error between πABC (θ|sobs ) and π(θ|sobs).
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
It is immediate that N ∗ eff ≥ Nacc , with equality only if p(θ|sobs ) does not depend on θ.
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
The potential gains of importance sampling occur when p(θ|sobs ) varies greatly.
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
The ﬁrst equality comes from the deﬁnition of p(θ|sobs), the second by integrating out θ and making a change of variable x = (s − sobs )/h.
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
For any ǫ > 0, by continuity of π(s) at sobs we have that there exists a δ > 0 such that |x| < δ implies |π(sobs + x) − π(sobs )| < ǫ.
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
Thus Z K (x)|π(sobs + hx) − π(sobs )|dx ≤ hR Xi Z |xi |K (x)dx.
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
Deﬁne δ (sobs ) = ˆθ(sobs ) − sobs and make the change of variables x = ( ˜θ − sobs )/h.
Constructing Summary Statistics for Approximate Bayesian Computation: Semi-automatic ABC
In Section 1.2 of the current paper the authors note that K ((S (y) − sobs )/h) is a Parzen-Rosenblatt density kernel.
Some discussions of D. Fearnhead and D. Prangle's Read Paper "Constructing summary statistics for approximate Bayesian computation: semi-automatic approximate Bayesian computation"
Wood (2010) suggests the synthetic likelihood by invoking the assumption of multivariate normality such that sobs ∼ N (µθ , Σθ ).
Some discussions of D. Fearnhead and D. Prangle's Read Paper "Constructing summary statistics for approximate Bayesian computation: semi-automatic approximate Bayesian computation"
K ((s − sobs )/h) , need not behave like an estimate of the true sampling density since it appears in the (randomised) pseudo-model.
Some discussions of D. Fearnhead and D. Prangle's Read Paper "Constructing summary statistics for approximate Bayesian computation: semi-automatic approximate Bayesian computation"
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