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Theorem 4
\begin{aligned} \left| {P\left( {W_{n} \le {w_0}} \right) - {P_{\overline{{\lambda _n}}} }\left( {{w_0}} \right) } \right| \le \frac{{{P_{\overline{{\lambda _n}}} }\left( {{w_0}} \right) \left( {1 - {P_{\overline{{\lambda _n}}} }\left( {{w_0}} \right) } \right) }}{{{p_{\overline{{\lambda _n}}} }\left( {{w_0} + 1} \right) }}\sum \limits _{i = 1}^n {\min \left\{ {{\alpha _i},\frac{{{\beta _i} - {\alpha _i}}}{{{w_0} + 1}}} \right\} , } \end{aligned}
\begin{aligned} \alpha _i = 1 - {p^{r_{n,i}}_{n,i}} - {r_{n,i}}{{q_{n,i}}}{p^{r_{n,i}}_{n,i}}\; { and }\; \beta _i = {r_{n,i}}\left( {{p^{ - {r_{n,i}}}_{n,i}} - 1 - {r_{n,i}}{{q_{n,i}}}{p^{r_{n,i}}_{n,i}}} \right) . \end{aligned}
\begin{aligned} \left| {P\left( {W_{n} \le {w_0}} \right) - {P_{\bar{{\lambda _n}}} }\left( {{w_0}} \right) } \right| \le \sum \limits _{i = 1}^n {\sum \limits _k {\frac{{k\left( {k - 1} \right) }}{{{r_{n,i}} + k - 1}}C_{{r_{n,i}} + k - 1}^k{q^k_{n,i}}{p^{r_{n,i}}_{n,i}}\mathop {\sup }\limits _{w \ge k} {f_{{C_{{w_0}}}}}\left( w \right) } }. \end{aligned}
\begin{aligned}\left| {P\left( {W_{n} \le {w_0}} \right) - {P_{\bar{{\lambda _n}}} }\left( {{w_0}} \right) } \right| \\\quad \le \displaystyle \frac{{{P_{\bar{{\lambda _n}}} }\left( {{w_0}} \right) \left( {1 - {P_{\bar{{\lambda _n}}} }\left( {{w_0}} \right) } \right) }}{{{p_{\bar{{\lambda _n}}} }\left( {{w_0} + 1} \right) }}\sum \limits _{i = 1}^n {\sum \limits _k {\frac{{k\left( {k - 1} \right) }}{{{r_{n,i}} + k - 1}}C_{{r_{n,i}} + k - 1}^k{q^k_{n,i}}{p^{r_{n,i}}_{n,i}}} \min \left\{ {\frac{1}{{{w_0} + 1}},\frac{1}{k}} \right\} } \\\quad \le \displaystyle \frac{{{P_{\bar{{\lambda _n}}} }\left( {{w_0}} \right) \left( {1 - {P_{\bar{{\lambda _n}}} }\left( {{w_0}} \right) } \right) }}{{{p_{\bar{{\lambda _n}}} }\left( {{w_0} + 1} \right) }}\sum \limits _{i = 1}^n {\min \left\{ {{\alpha _i},\frac{{{\beta _i} - {\alpha _i}}}{{{w_0} + 1}}} \right\} , } \\ \end{aligned}

Hence, the theorem is proved. $$\square$$

In the same way as in Remarks 3, we notice that ( ) is a special case of Theorem 4 with $$r_{n,i} = 1; n=1,2,\ldots ; i = 1,2,\ldots n.$$

We conclude this paper with the following comments. The received results in this paper are extensions and generalizations of results in Teerapabolarn and Wongkasem ( ), Teerapabolarn ( , ). The results would be more interesting and valuable if the discussed negative-binomial random variables in this paper are dependent. We shall take this up in the next study.

All authors contributed equally and significantly to this work. All authors drafted the manuscript. Both authors read and approved the final manuscript.

### Acknowledgements

The authors would like to express their gratitude to the referees for valuable comments and suggestions. The research was supported by the Vietnam’s National Foundation for Science and Technology Development (NAFOSTED, Vietnam) under Grant 101.01-2010.02.

### Competing interests

The authors declare that they have no competing interests.

University of Finance and Marketing, Ho Chi Minh City, Vietnam
­

## Laura Delano

I am writing with news that I’ve been eagerly anticipating sharing with you for quite some time. On behalf of my fellow co-founders and a growing number of volunteers, advisors, supporters, and contributors, I am incredibly excited to announce the launch of Inner Compass Initiative (ICI), a new 501(c)(3) non-profit organization, and ICI’s first major effort, Nicholas Kirkwood Woman Metallic Leathertrimmed Suede Sandals Black Size 41 Nicholas Kirkwood axNTf
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Among the many resources you’ll find on the ICI or TWP websites are:

## Informational resources on psychiatric drugs, physical dependence and withdrawal

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## TWP’s Companion Guide to Psychiatric Drug Withdrawal

Despite the astronomical numbers of people taking psychiatric medications, there’s a severe dearth of studies or research into how to safely taper off them. But countless numbers of individuals who’ve come off medications themselves have taken what they’ve learned along the way and developed sophisticated taper protocols that they are finding lead to smoother and more successful outcomes. We’ve gathered this rich anecdotal wisdom and created a comprehensive layperson’s “ Companion Guide ” to safer psychiatric drug withdrawal that is freely available to all who seek it.

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## ICI Connect

We know that more and more people are losing confidence and trust in the mental health system and seeking out alternatives to it– but they often struggle to find one another in their local communities to discuss, organize, and build different ways forward. We’ve created ICI Connect to meet this need. It’s a free online platform that helps people thinking critically about all things “mental health” find and connect with one another based on their location and specific interests.

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Thank you in advance for any help you’re able to offer in spreading the word! Please share this post with anyone you think might be interested, and start or join conversations about ICI and TWP on social media. You can also copy and paste the below blurb on social media, in emails, on list serves, or in online groups:

****Announcing the Launch of Inner Compass Initiative and ICI’s The Withdrawal Project!****

Inner Compass Initiative (ICI) is a new 501(c)(3) non-profit organization that provides information and resources to help people make more informed choices regarding all things “mental health” and to support people who wish to leave, bypass, or build community beyond the mental health system. Its first major effort, The Withdrawal Project (TWP), is a comprehensive online hub for safer psychiatric drug withdrawal. The resources on the ICI and TWP websites include a detailed layperson’s “Companion Guide” to safer tapering from psychiatric medications; mini-booklets that provide detailed, critical information about psychiatric drugs, psychiatric diagnoses, and the mental health industry; and two networking platforms to help people who are thinking critically about the mental health system or seeking support for psychiatric drug withdrawal to find each other in their local communities.

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If you communicate in tears and grief and anger and despair and joy like I do, hold these expressions as sacred, because they are. Know that these emotions are your wisdom, not a flaw. Don’t believe Them when They say that how you feel is a sign that something’s wrong with you.

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March 2nd,2017, 11:58 AM - by @Meadow Kouffeld

Meadow Jean Kouffeld is a Regional Biologist with the Ruffed Grouse Society, as well as an avid hunter and conservation activist. She recently starred in the Project Upland series about hunting and conservation. Here she delves deep into the relationship between the two and why contrary to a commonly held view by non-hunters, it is hunters who lead the way in modern conservation in North America.

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Meadow Jean Kouffeld is a Regional Biologist with the Ruffed Grouse Society, as well as an avid hunter and conservation

In North America we have undergone some dramatic shifts in wildlife populations in post European settlement which lead to the dramatic demise of once incredibly abundant species from big game to waterfowl to furbearers.

Fortunately there were sportsmen who enjoyed hunting for sport and cared about the future existence of North America’s wildlife populations. Sportsmen were the first to push for protections of species through restricted take and hunting seasons. Around the turn of the 19th century Theodore Roosevelt, a sport hunter, became America’s 26th president and stands as one of the greatest conservationists in American history.

“No other user group contributes more money to wildlife and wildlife habitat conservation and management than hunters.”

He developed what would become the United States Forest Service and set aside our first Wildlife Refuges to protect breeding bird populations. The relationship between hunters and conservation in North America is no different today.

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Photo by @Meadow Kouffeld Meadow and her daughter, Heidi, after a successful deer hunt

No other user group contributes more money to wildlife habitat conservation and management. Whether it is through the purchase of hunting licenses, tags, paying an excise tax on firearms and ammunition, or supporting hunter based conservation organizations. As a result hunters are the true conservationists in our country.

Sunday, January 14, 2018 - 11:00am to 5:00pm
Jowler Creek Vineyard Winery

Winter is here and it’s time for Jowler Creek Vineyard Winery's 11th Annual Tank Tasting Party on Sunday, January 14. At this exclusive event, you'll be able to sample the winery's2017 Traminette, Vignoles, Chambourcin and Norton straight from the tank. Speak directly with the winemaker and share your thoughts on how they taste! Costis$12/person. Priceincludes a taste of 3 wines from the winery'scurrent wine release listand a glass to take home. No reservations are required. Saturday, January 20, 2018 - 1:00pm to 2:30pm Jowler Creek Vineyard Winery Experience the joy of food and wine tasting as Jowler Creek Vineyard Winery staff guide your palate through the 5 S’s of wine tasting and give tips on pairing foodwith wine. Enjoy a small plate of locally-sourced foods chosen to pair perfectly with the wines! Cost is$19/person.

Saturday, January 20, 2018 - 3:30pm to 5:00pm
Jowler Creek Vineyard Winery

Go behind the scenesand see how Jowler Creek Vineyard Wineryturns theirsustainably-grown grapes into wine. You’ll taste through the winery's lineup of wines while winemaker/owner Jason Gerke leads you on a tour of the production room and vineyard! Cost: $15/person. Sunday, January 21, 2018 - 11:00am to 5:00pm Jowler Creek Vineyard Winery Friday, January 26, 2018 - 7:00pm to 9:00pm Jowler Creek Vineyard Winery Looking for a fun activity for date night, girls night out, or just a fun night with friends? Sip on wine and paint a festive painting! Cost is$39/person and includes all the supplies you need for the painting, a fun step-by-step lesson by local art instructor Angie Carmack, some yummy snacksand a beverage (alcoholic or non-alcoholic) of your choice!

Friday, January 26, 2018 - 7:00pm
Willow Spring Mercantile

Enjoy a four course wine dinner with Fence Stile Winery at Willow Spring Mercantile in Excelsior Springs on Friday, January 26. This culinary and wine event showcases local wines and food perfectly paired in a unique wine cellar bistro setting.Meet Shriti, the winemaker from Fence Stile Winery and learn the family's story. Enjoy exceptional wine and food. Reservations required. Cost is \$65 per person and includes wine, food, tax and gratuity. For more menu details, visit www.shopthemercantile.com or call 816-630-7467.

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